{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 13. Sequential Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "np.random.seed(1234)\n",
    "\n",
    "from prml.markov import CategoricalHMM, GaussianHMM, Kalman, Particle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "gaussian_hmm = GaussianHMM(\n",
    "    initial_proba=np.ones(3) / 3,\n",
    "    transition_proba=np.array([[0.9, 0.05, 0.05], [0.05, 0.9, 0.05], [0.05, 0.05, 0.9]]),\n",
    "    means=np.array([[0, 0], [2, 10], [10, 5]]),\n",
    "    covs=np.asarray([np.eye(2) for _ in range(3)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq = gaussian_hmm.draw(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jZrO5eKZiNpuF3+8vfm1LSwsMBsMpr3FspILJZDohUoGIiEqLjZSK3G43crkcZFlGfX09Wlpa1C5pSo6PfQjljEjorHjomdfwxXUXYNu2bTjjjDNw6NAhvPrqq7jooouwfft2zJ8/X+XKK2esBvtYOp0OHs9fXxcMBpHJZCAIAsxmMywWS/G5Y5vXsSIViIio9NhIqUyr1UIURSSTSUiSBIvFAqvVqnZZk1KIfTiWbdUXcOuX/hf+8646zJs3D48++iguv/xybNiwAdlsFvX19Xj44YdVqrh2OJ3O4n/39/fD5/MBAF7eH0LHK91IZfMAcNJIBSIiKg9hMnMYU7VixQqFW7BHF4/HEYvF0NzcDKPRqHY5EzL3tueKO/szEQmCoQG6xiYIAA4fsyuNSufc77yEo4cOAIoCg3MuAKDniW9Ak05gvsuGH/zgB1i1ahWeeeYZfOlLX0IoFILNZkN7eztefPFFlasnIqoNgiDsURRlxWjPcUWqylgsFlgsFoRCIYRCIXg8npqZcSnEPgCAUGeC1tiIbCwAcYbEG1RKJBJBKpUCAMj+buhsLmj09cXnXdffCwEYEamwbt06rFu3rtKlEhFNe2ykqlRhXqowcFwLWUsbL14wYkZK0OrR2OzG/1rpRCgUqvkZMLWEQqERhx03NTWhqakJADBLFIvN67EKUQtERFRebKSqnNvtRjabhSRJMBqNVZ2AfuyutK7EcOxDYVfawMAAjhw5AlEUa2aFTS3HN07Nzc2oq6sb9bXHN68AYNRrsfFiZkYREVXCuGekBEHYBOBSAEFFUZZ89JgDwK8BzAFwBMA1iqL0neq9OCM1OclkEuFwuCYG0ru7u9HW1nbC45IkobGxcUadNzgWRVEQDAaRy+WKuVHjjTooOHHX3oJx7QwkIqLxGWtGaiKN1AUAEgB+dkwjdS+AXkVROgRBuA2AXVGUW0/1XmykpiYWiyEej1f1QPrJGilg+CDjeDwOURSnTX7WeCmKgkAggFzurytITqcTer1exaqIiGgsJRk2VxTlNUEQ5hz38OUALvrovx8H8AqAUzZSNDVWqxVWq7UmB9IBwGazobGxEUePHkVzc3MxhHI6Gq1xam1thU7Hu+pERNPBVP82b1UUpfuj/+4B0DrF96MJaGlpgaIo8Pv9EAShJgbSC7RaLebMmYNwOIz+/v6Trl7VGkVR0N3dPeJ4F5fLVVONLhERjV/JfixWFEURBOGk9wkFQbgJwE0AMGvWrFJddsYTBAEej6dmBtKP19zcjKGhIRw9ehQul+ukQ9XVKp/PF8/FK9ymbG1tZeNERDRDTLWRCgiC0KYoSrcgCG0Agid7oaIoDwN4GBiekZridek4Op1uxIHIVqt1xDEi1ayurg6zZ89Gd3c39Hp9VTeChcapQBAEuFwuaDQ8/5uIaCaa6t/+vwNww0f/fQOAZ6f4fjRFDQ0NEEUR+XwekiQVgxtrQVtbG+rr63HkyBHk8/lxfc2DDz6IJUuWYPHixXjggQcAAL29vVi9ejXmz5+P1atXo6/vlBtJTyqXy8Hv9xf/FwwG0dbWBrfbDbfbjba2NjZRREQz2Lj/BRAE4UkAbwBYIAiCLAjC5wF0AFgtCMIBAJ/86NdUBWw2G0RRRDweR1dX17gbE7WZzWbMnj0bPp8PsVhszNfu27cPjzzyCHbt2oXOzk5s3boVBw8eREdHB1atWoUDBw5g1apV6OgY/x/LbDY7onEKhUIjGieXyzXjdhoSEdHJTWTX3rUneWpViWqhMnA6ncWBdI1GUxND3YIgQBRF9PX1QZZleL3eUV+3f/9+rFy5Eg0NDQCACy+8EJs3b8azzz6LV155BQBwww034KKLLsJ3v/vdUd8jk8kgGAwWmyOtVou2tjY2S0RENC7cgz0DFAbSM5kMJElCQ0ND8YiRama322GxWIoxCSaTacTzS5YswR133IFIJAKj0Yjnn38eK1asQCAQKDaMLpcLgUCg+DXpdBqhUKjYKOl0OrjdbjZOREQ0KWykZhC9Xg9RFDEwMABJkop5TtVMq9Vi9uzZCIVC6O/vh8vlKj63aNEi3HrrrVizZg1MJhPa29tP2C1XOGqlcGahXq+Hx8PUbyIiKg02UjOQyWSCyWRCX18fJEmC0+ms+tiBlpYWpFIpPPzcf+PRvVH0JLIfHYeyFnv2fB4AcPvtt6O1tRVNTU3Yu3cvWltb0dvbi9bW1prK2CIiotrBRmoGs9vtsNvtCAaDSKfTcLvdVb0D7YX9Edy/sw/9vUEIOj18AP73pv9C72VLsNSex1NPPYWXXnoJsizjxRdfxG233Yaf/exnuPzyy9UunYiIpqlxn7VXSjxrr/ooigKfz1cctp6qsc7am6zzOrbDF01CyeeQ7jkIKHn0bv8JtNkk5rts+MEPfoBVq1YhEongmmuuQVdXF2bPno2nnnoKDoejpLUQEdHMUZKz9mh6EwQBXq+3qgfS/dEkAEDQaKFvEpEfGkDT2i9Bb3Gi8/5PF1/X1NSEbdu2qVUmERHNINV7H4dUURhIr6+vhyRJ6O/vn/J7plIpnHPOOTjrrLOwePFi3HXXXQCAbdu2YdmyZWhvb8f555+PgwcPjvk+bpux+N+augboLC3QWVpgz0fxwQcfTLlOIiKiiWIjRaMymUwQRbF4ht/Q0NCk36uurg7bt29HZ2cn3nrrLbzwwgvYuXMnbrnlFjzxxBN46623cN111+Huu+8e8302XrwARv3IXXkmswXf+uzfw+Fw4PXXX0c4HJ5QbdFoFFdffTUWLlyIRYsW4Y033kBnZyfOPfdcLF26FJdddhni8fiEPzMREc0MbKRoTHa7HaIoIhqNQpIkTGamThAEmM1mAMMBmJlMBoIgQBCEYpMSi8VOubPuirM9uOfKpfDYjBAAeGxG3HPlUlxxtgctLS04//zzEQqFsGfPHiSTyXHVtmHDBqxduxbvv/8+Ojs7sWjRIqxfvx4dHR145513sG7dOtx3330T/sxERDQzcNicxq0wkK7T6UbkOY3m+GHzXC6H5cuX4+DBg/jiF7+I7373u9ixYweuuOIKGI1GWCwW7Ny5syQHLSeTSbz77rtwOBzweDwnjXaIxWJob2/HoUOHRgRyWq1WRKNRCIIASZJw8cUX47333ptyXUREVJvGGjbnihSNW2Eg3eFwQJIk9Pb2jvtrtVot3nrrLciyjF27dmHfvn24//778fzzz0OWZdx444342te+VpI6jUYjVqxYgbq6Ohw6dAiSJCGbzZ7wusOHD6OlpQU33ngjzj77bKxfvx4DAwNYvHgxnn12+Pztp59+GpIklaQuIiKafthI0YQZDAaIogiDwQBJkpBIJE54zR/e6cZ5Hdsx97bncF7HdmzZ6wMwfJjyJz7xCfzhD39AZ2cnVq5cCQD4x3/8R/z5z38uaZ0ejwcejwf5fB7BYBCSJI04vDmbzeLNN9/ELbfcgr1798JkMqGjowObNm3Cj370Iyxfvhz9/f0wGAwlrYuIiKYPNlI0aWazGaIoIp1OQ5Kk4nEsW/b6cM/z7w9nPgHo8vfgG798A1v2+pBMJvHyyy9j0aJFiMVi+PDDDwGg+FipWSwWzJo1C9lsFjabDY++/CZWfPPXmHPrVtzyzBE4nG3FZu7qq6/Gm2++iYULF+Kll17Cnj17cO211+JjH/tYyesiIqLpgTlSNGUOhwMOhwM9PT3IZDK494UPkczmin+4coleHPn1/bj+FwrmNjXgmmuuwaWXXopHHnkEV111FTQaDex2OzZt2lSW+gRBwKxZs/DzV/bhnuffR6behlx/BN0CkNBZ8dAzr+GL6y7Atm3bcMYZZyAYDMLpdCKfz+Puu+/GzTffXJa6iIio9nHYnEpKURTM+uLjyCX7YWidh9xAFLmBPhiccyEAONxxiWq1ndexHXKkH7lEL7QmG6DRInnkLQzseBwfazFh3rx5ePTRR/Gzn/0MDz30EADgyiuvxD333DNiGJ2IiGYWJptTxRRWf44ePYJsPATBYITO0oKU/C5mn7ZQ1dr80SQErQ46qxPZeAg6Swsa5i1Hw+yz8NyXl8FgMMBut2PDhg3YsGGDqrUSEVFt4IwUldzGixfAWFcPnaUFgqBBPp2Exf0x/OOCOhw4cGDEwHclFZLRc8l+aIyNxcc9TY0QRRE2mw2SJCEUCqlSHxER1R42UlRyV5ztwTf/fiE8NiO0dQ2YPWsW/vXvF+DT558Bg8GA9957b8IJ5KVQSEZXskPQ6OsBAEa9FhsvXgBgOIFdFEWYzWbIsjyheAciIpqZeGuPyuJTS9vwuTXLTni8p6cH8Xgc0WgUAwMDcLlcJw3MLLUrzvYAAO5+KoaIMrxCtfHiBcXHC4xGI7xeLwYGBiBJEsxmM+x2e0VqJCKi2sJGiirK5XLB6XTi0KFD6OnpgV6vhyAII1LQy+miuSasvvNSmEymU77WZDLBZDKhv78fkiTBarWWJHmdiIimD97ao4rTaDQ47bTTisezpFIpHD16dNRgz1IbGBgYVxN1rMbG4RkqRVEgSRL6+/vLVB0REdUaNlKkmrq6Opx//vlQFAW9vb3o6+tDV1fXpA5GrgSr1QpRFJHNZiFJEgYHB9UuiYiIVMZGilQ3b948nHbaaYhEIlAUBYcPH0ZfX1/JrxOLxUpya85ut0MURSSTSUiShFQqVYLqiIioFrGRoqrQ2NiIJUuWQFEUaLVa9PT04OjRo8hkMiW7RiKRQGNj46lfOE5NTU0QRRHxeHzEETlERDRzsJGiqqHT6TBnzhzo9Xq4XC5oNBq8++67CAQCapc2JqfTCVEU0dfXB0mSkM1m1S6JiIgqhI0UVR232w1guLFauHAhYrEYOjs7pzSTlEgkYDabS1XiqFpbWyGKIoLBICRJUi14lIiIKofxB1SV7HY7UqkUenp6cNpppyGRSOD9999HY2Mj5s+fP+H3i8Vi8Hg8p35hCbjdbiiKAr/fD0VR4PF4eFYfEdE0xRUpqlr19fWYPXs2JEmCVqvFsmXLYLFY8Kc//QmRSETt8sYkCAI8Hg/cbjdkWYbP56va3YhERDR5bKSoqgmCgNmzZ2NgYADhcBitra0477zzEAwG8ec//xm5XO6U7zEwMICGhoYKVHsijUYDURThcrkgyzK6u7tVqYOIiMqDjRSVRalXX5xOJ+rq6iBJEgBg0aJFWLlyJXbt2oX9+/eP+bXRaFT1I160Wi1EUURzczNkWUYwGFS1HiIiKg02UlQzGhsb0dbWhiNHjiCdTkOr1eLcc8+F0+nEn/70p6rf3QcAer0eXq8XVqsVkiSpcngzERGVDhspKotyDVcXIhJCoRCi0SiA4Tyn8847D/F4HLt27Rqxuy+ZTMJoNJallqmoq6uDKIowmUyQJAm9vb1ql0RERJPARopqksfjgaIoI2aO5s+fj/b2duzfvx/vvfcestksent74XA4VKx0bEajEaIoFm9bFppDIiKqDWykqGbZ7XbY7XYcPny4mNlkMBiwfPlyuFwu7N69u2Z2y5lMJoiiCK1WC0mSEI/H1S6JiIjGgY0U1bT6+nrMmTMHsixjYGCg+LjD4UB7ezsEQcA777yDUCikYpXj19jYCFEUoSgKJElCIpFQuyQiIhoDGymqeYIgYNasWcWIhIJIJIK/+Zu/wZw5cxCJRHDo0CHEYjEVKx0/q9UKURSRTqchSdKUUt2JiKh82EjRtFGISOjq6hrxuMViwcKFC1FfX188viWZTKpU5cQ4HA6IoojBwUFIkoRUKqV2SUREdAweEUPTSmNjI4xGIz788MMTQjjdbjdSqRSCwSCCwSA0Gg3cbje0Wq1K1Y5fc3MzACAYDCIUCqG1tRUGg0HlqoiIiCtSNO3odDqYTCYIgnDCLrj6+nrMmjWr2GQFAgH4/X41ypwUp9MJURTR29sLSZKQzWbVLomIaEZjI0XTlsfjQT6fH/VYlpaWFrjdbmSz2WL0QC2FY7pcLoiiiFAoBEmSirsWiYiosthI0bSTzWaLt+scDgdsNtuIiIQCrVaLWbNmQavVIp/Po76+vuaiB9ra2uD1euH3+yHLck1EPRARTSdspGjaCQQCaG1tLf7aaDRizpw56OrqGhGRUGCz2TBr1ixEo1EYjUbk84CtrSwAACAASURBVPmaGuwWBAFerxdutxuyLMPv97OhIiKqEDZSNC0df0SNIAiYM2fOCREJxz7v9XphNBoRj8fR0tKCeDwOSZKQy+UqVfaUaDQaiKKI1tZWyLI86i1NIiIqLTZSNK3k8/kxz/krRCRIkjTq8yaTCbNmzUIsFkMul4PX60VPT09NDaRrtVqIoojm5mZIkoRgMKh2SURE0xbjD2ha6enpQVtb25ivKUQkHD58GB6PZ9QYgdbW1mIYpt1uh9FohCRJMBqNxSiCaqfX6yGKIoaGhmqudiKiWsEVKZpWFEUZc0WqQKfTYe7cuQgGgyc9KNhgMGDWrFnIZDLw+/3wer1oaGiouYH0uro6iKJYrL23t1ftkoiIpg02UjRtjLeJOpbX6z1pREJBIV28MIAuimLNDaQDQENDA0RRLN7aPFkDSURE48dGiqaN7u5uuFyuCX/dWBEJBYXz/PR6PY4ePVpsSuLxOLq6usaV45RKpXDOOefgrLPOwuLFi3HXXXcBAD7+8Y+jvb0d7e3tcLvduOKKKyb8GSbCZDJBFEVoNJqaW10jIqo2nJGiaUNRFGg0k/vZoBCRcPToUbS0tMBkMo36usbGRjQ2NsLv90Or1aK1tRWKosDv90Oj0Yw5n1VXV4ft27fDbDYjk8ng/PPPx6c+9Sns2LGj+JqrrroKl19++aQ+w0RZLBZYLBbEYjHIsgybzQaz2VyRaxMRTRdckaJpoRS5SYWIhEQiccqUc7fbDavViq6uLgwODsLj8RR3yUUikZO+f6FRyWQyyGQyI25FxuNxbN++vewrUsezWq3wer3F4frBwcGKXp+IqJaxkaJpIRAITOq23mhaW1vHjEgoKJzbl0wmIcsydDodRFEsJqT39/ef8DW5XA7t7e1wOp1YvXo1Vq5cWXxuy5YtWLVqFSwWS0k+x0QVZsEGBwdrbv6LiEgtvLVH00IulyseC1MK44lIKGhubkYul8OBAwdw7bXXIpvNIpvN4pJLLsGXvvQlvPvuu7j99tuRTqexfPly7N69G4lEAuvWrcO+ffuwZMkSAMCTTz6J9evXl+wzTFYhIiEYDCIUCqG1tXXMz09ENJNxRYroJMYTkVCg1Woxf/58/O53v8Pvfvc77NmzB6+++iqe2PYm/uGaz8C/8BpYrnsAyTo7Hn/8cdhsNnziE5/ACy+8AAAIh8PYtWsXLrnkkkp8tHFxOp0QRRG9vb2QJAnZbFbtkoiIqg4bKap5gUAATqezbO8/nogEYHgGyuPxYPbs2ZBlGYHeOH782mEoWj3qxCU4fGA/Xg8a8KNHn0AymcTLL7+MhQsXAgB+85vf4NJLL0V9fX3ZPsdkuVwuiKKIYDAISZLGtUORiGimYCNFNS+bzUKv15f1GuOJSAD+OgPV3t6OdOtiZAwWKLks0j0HIQgCAi/9J/bufB3Lli3D6tWrcemllwIAfvWrX+Haa68t62eYKrfbDa/XC7/fD1mWeTAyEREAQY2/DFesWKHs3r274telyunu7j7lUS2l4vP54PF4KnItRVFOGZEAANFoFG1nXQD7J7+AbCyI2J9+BSCP+rnLkfzLLvT+5W309fXBbrfXZORAPp8vRj643W61yyEiKitBEPYoirJitOc4bE41LRQKVfT8uEJEQiAQQDKZxOvSEO578QP4o0m4bUZsvHgBrjjbA5vNhpbTl6H/0JuwrrwSDaedg9xgDMnDe6GLSTCbzTCbzcX5o1ob6NZoNPB6vchms5AkCXq9vmS7JomIaglv7VFNS6fTqKurq/h1W1tb8dL+ML7+6Db4okkoALr8PfjGL9/Alr0+JJNJmMP7YW6dhdzA8KC6xtCA5L6XccsXboIsy+ju7obdbocoiujr64MkSTV3u6wQ+eBwOCBJEoLBoNolERFVFFekiCbpoT/5kam3IRcLQGt2IJfoxZFf34/rf6FgblMD/uc11+DMyz6PL274GgLv/hlaDXDdDetx95dvADA82+Xz+QAMN2Y6nQ4+nw86na7mVncMBgNEUUQqlYIsy6ivr6/oSiERkVo4I0VlUYkZqUgkApPJpNpOt7m3PQcFw3NTuXgQOmsrAEAAcLhjYjEGgUAAmUwGFosF9fX1CAQCMJlMcDgcpS+8AgYHB4vfn1r9DEREBWPNSPHWHtWsVCqlalyA22YEAOQSvdA2Np/w+ES0trbC6/VCURQEg0HU1dXBYDBAkiQkEomS1VwphUOdDQYDZFk+ZQ4XEVGtYiNFNEkbL14Ao14LKHkImuFUdaNei40XL5j0exbOvbNarcXmI5lMQpIkpNPpktRdSWazGV6vFxqNBpIkIR6Pq10SEVFJlaSREgThq4IgvCsIwj5BEJ4UBKH6UgVpWunt7YXdble1hivO9uDWC10Q3S4IADw2I+65cimuOHvqUQx1dXXwer3FnXGFRqQWB9IBwGKxQBRF5PP5ml1lIyIazZSHzQVB8AD4MoAzFEVJCoLwFID/CeCxqb430ckkk8mqmL1ZtaAJn/1ke9neXxCE4qxZb28vEokEOjs70dbWhtbW1rJdt1xsNhtsNlsx9qGpqQkNDQ1ql0VENGmlurWnA2AUBEEHoAGAv0TvS1S1IpFIRZs5h8OBWbNmYcGCBRgYGMDOnTvR29tbseuXksPhgCiKGBwchCRJGBoaUrskIqJJmXIjpSiKD8D3AHQB6AYQUxTlpam+L9HJxGIxWK1WtcvA4ODgmOnm5WI0GjFv3jycc845CAaDeOONNxCJRCpeRyk0NzdDFEXEYjHIsoxMJqN2SUREEzLlRkoQBDuAywHMBeAGYBIE4TOjvO4mQRB2C4KwOxQKTfWyNIMlEgnVj1WJxWKwWCyq1qDRaLBw4UKce+65CIfDeOONN2o2ENPpdMLr9SISiaCrqwu5XE7tkoiIxqUUt/Y+CeCwoighRVEyADYD+B/Hv0hRlIcVRVmhKMqKlpaWElyWSD3xeLwqVsUKFixYgHPPPRfxeBw7d+6E3++vyaF0l8sFURQRCAQgSdKYB0QTEVWDUiSbdwH4W0EQGgAkAawCwLRNKov+/n40NjaqWkMikVDllt54nHbaaZg3bx66urqwd+9eOJ1OOJ3OmjrHTxAEuN1uKIpSbAg9Hg8EQVC7NCKiE5RiRuq/AfwGwJsA3vnoPR+e6vsSjSYej6t+S62vr68qdgyejEajwZw5c3DGGWdAURQcPnwYsizXXIaTIAjweDxwu92QZRl+P/ewEFH1KclZe4qi3AXgrlK8F1E1UztNfSLq6+shiiL6+/sRjUYxMDCAeDwOvV5fU9EJGo0Goigim81CkiQYDIaaqp+Ipjcmm1PNqIZbaqFQCLU249fY2Fg8rkVRFDQ2NsLn80GW5Zoa6tbpdBBFEXa7HZIk1exgPRFNL2ykqGbEYjHYbDbVrp/JZKDTlWQRVxVNTU3FqIHC3FEgEIAsyzWVNG4wGCCKIiwWCyRJqtnoByKaHthIEY1TT09PMWW8lrW1tRXnjnQ6HbxeLzKZDGRZRjgcVru8cSvcujQajZAkqWbDSYmotrGRopowODgIo9Go2vXz+fy02jVWmDsqrOoIggCv1wuTyQRZliHLcs3EJzQ0NBRvXUqShFgspnZJRDSDsJGimqD2TjmfzwePZ+qHEVebwqpO4VBkRVHg9Xrh8Xjg9/shyzKSyaTaZY6L2WyGKIoQBAGSJNXcLkUiqk1spIhOQVEUKIoyrVakjmexWEacfZfL5eDxeOD1ejEwMABZltHX16d2meNS+Cz5fB6SJGFgYEDtkohoGqvdyVmaMdSOHOju7obb7Vbt+pXU3NwMAMUgTLfbXXwskUhAlmVoNBq0tbVVfWNps9lgs9nQ29uLvr4+NDU1qXp7mIimJzZSVPUikYiqt9VyuVxN79abDLfbjVwuB1mWUV9fj5aWFpjNZpjNZuRyOfh8PgCoidR0h8MBh8OBcDiMcDgMp9OJuro6tcsiomliZv3rQDRBgUAATqdT7TJUodVqIYoikskkJEmCxWKB1WqFVquF1+sFMPz7k8lkYLFYVE+cP5XCylogEEA6nYbL5YJer1e5KiKqdZyRoqqWTqdVXfFIp9MzfvXCaDRCFEUAgCRJI4bPW1tbi02VLMsIBAKq1DgRra2tEEURkUikOA9GRDRZXJGiqhYKhVS7rReJRKr6TL1Ks1qtsFqtCIVCCIfDcLvd0Gq1AFBckUqn08XohLa2tqq+JepyuaAoCrq7u4vD9RoNf7Ykoomp3r/liFQ2ODiIpqYmtcuoOoUjcgoD6cc2ugaDAV6vF4qioKenB7lcDjabDWazWa1yxyQIAtxuNxRFKR6K7Ha7q36QnoiqBxspqlpqHskSjUZhtVpVuXatcLvdxYOEjUZjcQYJGG5QCinwfX19xaH1Y19TTQRBgMfjQT6fhyzL0Gq1M2anJhFNDdexqWoFg0HVBr37+/urfni6GhQOEjaZTCdNFbfb7SekpufzeRWqPbVC4rvT6YQkSTUx80VE6uKKFFU1NW6xJBIJmEymil+3lhUG0mOxGCRJQnNz8wmZTUajsXjbr3BbsFqznQoNYjqdhiRJqKurm7G7N4lobFyRoqqUy+VUG/xV+ziaWma1WiGKIhKJBLq6ukbdEVe4jXZsanq1HjhsMBhGnEkYiUTULomIqgxXpKgq9fT0qDKjonaK+nTR0tJSXHkqDHSPpjAzVWioqjU1vXAm4eDgIGRZhslkgt1uV7ssIqoCbKSoaqnxj2koFCpmJtHUFFaeCgPpDQ0NJ90FaTKZYDKZRqSmt7S0VF2GV0NDAxoaGpBIJEaElBLRzMVGiqpOPp9XpYlSc5fgdFaYNyociGy1Wk86yH9sanowGEQ6nUZjY2PVNSuF43Li8ThkWYbVakVjY6PaZRGRCjgjRVWnp6enuHV+Jlx3pmhoaIAoisjn85AkCalUaszXO51OeL1eCIIASZLQ09NToUrHz2KxwOv1IpfLQZIkDAwMqF0SEVUYf/ymslAUZUpfW+kVKbVWwWYim80Gm82GYDBYTK4fa2NBLaSmFz5TJBJBb2/vqLsWiWh6qp6/iYgwtQZsKnw+X/GWElWG0+mEoijw+XzQarWnXA0spKYDKB7rUm2p6U1NTWhqakI4HEY4HIbT6ay6OS8iKi02UlQWk13dUeP2mqIoqqyC0fCfE6/Xi0wmc8qB9GMdn5peV1dXPLqmGhR2IwYCAaTTabhcLuj1epWrIqJyYCNFVSWfz1c8P8rv96t2MDIN0+v1EEURAwMDkCQJNpttXMPbdrsddrsdqVQKsiwDGD66ploOH25tbQUw/ANCJpMZcdAzEU0PbKSoaqh1Wy+fz/MftypRiEHo6+uDJEnjvjVWX19f1anpLperWFs+ny8O0RNR7WMjRVUjEAgUf4Kv5DV59Ef1Kaw0BYNBDA0NnXIgvaCQXQUAkUgEkUgEDQ0NVZFUX6it0FABw6tnbKiIahsbKaoauVyu4jux0uk0h4Gr2EQH0o9VmLWqttT0QkOVz+chyzJ0Oh1jN4hqGBspmrHC4XBVrFTQ2CY7kF5QranpGo0GoigWk98NBkPFV2SJaOrYSFFVCIVCFb/Flkwmi7urqPpNdiC94PjU9KGhITQ2NsJms5Wr5HEpJL8XcrKqbQciEY2tOra20IyXTqcruj08Go1W3bEjND4mk2nESs7Q0NCE38PpdEIURWg0GsiyXBWp6YWcrMbGRkiShEgkonZJRDQOXJGiGam/v5+HE9e4wkB6IatpMjvhCqnpmUymGJ/gcrlUTU2vr68fsfJmNptht9tVq4eIxsZGilQXDocreostkUhUVRo2TU1ra2txIF2n08Hlck34PfR6/Qmp6WofRFyY7UokEpAkCRaLhauoRFWIt/ZIdUNDQxUd/O3r6+NP+NNMYSDd4XBAkiT09vZO+r3a2tqKBxHLsoxQKFTCSifObDZDFEUIggBZltHf369qPUQ0EhspmlFSqRTq6+vVLoPKxGAwQBRFGAwGSJKERCIx6fey2WzFmSVZliHLMvL5fAmrnRiLxQKv11ucDRsYGFCtFiL6KzZSpKpIJFLRCIJQKMQdUTNAYRUnnU5DkiSk0+lJv1chNd3j8aCnpweyLGNwcLCE1U6M3W6HKIpIpVKQJAnJZFK1WoiIjRSpLJVKVewYj0wmo+oQMVWew+GAKIrFw42ncgyRIAhwu93wer1IJpOQZXlKtxCnqqmpCaIoFmeoJrN7kYimjv+q0IzR09PDnXozVGEgXZblkgRfHp+aXmiy1EhNL6ywFnYvulyuikaJEM10bKRINdFotGJhiPl8XvWjQUhdgiBAFEUMDQ2VLFagsLMun8/D5/NBUZRxH7RcaoXmsLu7G9lsFm63m4dxE1UAb+2RagYGBmAymSpyLZ/PVzzMlma2uro6iKIIvV4/5YH0Ao1GA6/XC1EUEYvFIMsyotFoCaqduMKuw0AgAEmSpnQ781QefPBBLFmyBIsXL8YDDzwAAOjs7MS5556LpUuX4rLLLkM8Hi/b9WnqPve5z8HpdGLJkiXFx/g9nBg2UjTtKYoCRVG4IkUjlHIg/VhOpxNerxcajQaSJKmSmn7sPJfP5yuulpXSvn378Mgjj2DXrl3o7OzE1q1bcfDgQaxfvx4dHR145513sG7dOtx3330lvS6V1mc/+1m88MILIx7j93Bi2EiRKmKxGCwWS0Wu5ff7uRpFJ1UYSO/t7S3pCo7FYoEoimhqairGJ2QymZK893gV8rVcLhd8Pl9Jm7r9+/dj5cqVaGhogE6nw4UXXojNmzfjww8/xAUXXAAAWL16NX7729+W7JpUehdccMEJO6fH8z2cM2cOli5divb2dqxYsQIA0Nvbi9WrV2P+/PlYvXo1+vr6yv8BqgAbKVJFIpGoWGp0Pp/nrAidksvlgsfjgc/nQzAYLNn7FlLTvV4vIpGIKqGahQObm5qaIEkSAoHAlN9zyZIl2LFjByKRCAYHB/H8889DkiQsXrwYzz77LADg6aefhiRJU74WVdZ4v4d//OMf8dZbb2H37t0AgI6ODqxatQoHDhzAqlWr0NHRgWg0iquvvhoLFy7EokWL8MYbb0y7houNFE1rgUAATqdT7TKoRhRmnaxWKyRJKvlf8C6XS9XUdL1eD1EUYbPZIEkSwuHwpN9r0aJFuPXWW7FmzRqsXbsW7e3t0Gq12LRpE370ox9h+fLl6O/vh8FgKOEnoEqY7Pfw2WefxQ033AAAuOGGG7BlyxZs2LABa9euxfvvv4/Ozk4sWrRo1IarlgnlHEQ8mRUrViiFDpamp+7ubrS1tY36XH9/P/L5fEXODZMkiZEHNGn9/f2IRqNwOBxl2RiRSqUQDoehKAo8Hg80msr+bJtMJhGJRGA0GouRDqeyZa8P9734AfzRJNw2IzZevABXnO3B7bffDq/Xi3/+538uvvbDDz/EZz7zGezatatcH4GOI0kS/umf/gmBQACCIOCmm27Chg0b0NnZiZtvvhmJRAL1dhc0f/dlBFMauG1G3LC0AT+8dT327dt3wvud7Hs4d+5c2O12CIKAL3zhC7jppptgs9mKmywURYHNZoPD4cChQ4dGzKguWLAAr7zyCtra2tDd3Y2LLroIH3zwQXl/Y6ZIEIQ9iqKsGO05xh9QxcXj8YrMLIXD4XH/40A0msbGRjQ2NiISiaC3t7fkGU2F1HRFUdDd3Y18Pg+Hw4GGhoaSXWMsRqMRXq8XAwMD44qE2LLXh29ufgfJTA4A0OXrxjc3pxHq9mHz5s3YuXMngsEgnE4n8vk87r77btx8880V+Sw0TKfT4fvf/z6WLVuG/v5+LF++HKtXr8b69evxve99D32W03DLv30PyZeegO2C/w++aBLffUFCJpUtvsd4voevv/46PB4PgsEgVq9ejYULF454XhAE5PN5tLS04MYbb0RnZyeWL1+OBx98EIFAoPiDtsvlKsmtZjXx1h5NW8lksmL/INH0VkgRD4fDU05IH81oqemRSKSk1xiLyWSCKIrQ6XSQZRmxWGzU19334gfFJgoAQlv+L/7yHzfhK5+/Fg899BBsNhuefPJJnH766Vi4cCHcbjduvPHGSn0MwnD8xbJlywAM/yCwaNEi+Hy+4gD5fS9+AK14FgY//DMAIPS7e3H00a9CPnwQXq8XP/3pT0f9Hm7Z68N5Hdsx97bncF7Hdvy/j8YInU4n1q1bh127dqG1tRXd3d0Ahu9KOBwOvPnmm7jllluwd+9emEymE27jCYJQ8zuqeWuPyuJkt/YGBgaQTqenHIR4KtFoFBqNpmI7A2nmKIRv1tXVlXX+bnBwEL29vaqkpsdiMcTjcdhsthGbQube9hwUAPl0EvnUALQmKwStHgKAwx2XVKw+Gl0ul8OKFSvg8XiwdetWHD58GGeddRacTif8fj+uu+46bGteh74//xrxN57CrP/91914Y30Pj1+JzKdTqNcJuPfalVh9ug2rV6/Gv/3bv2Hbtm3oGdLhkHs13nvhZ6gb6kX+6F4E/cPD6jt27EBHRwcOHjw4rW7tcUWKKioWi5W9iQKGZ1vYRFE5aDQaiKIIi8UCSZLKFrzZ0NAAr9eLtrY2+Hw+SJKEVCpVlmsdz2q1QhRFZLPZEYc0u23D52JqDEboLM3IpxLIxsNwmbkrtho8+OCDWLRoEYDhndGf+MQnsGzZMnz44Yd48803ceDAAQQf+xcomRSgHTnZU/jejub4lcjcYBRHHvvfuP7vL8A555yDSy65BGvXrsXSv78Bm3//B+y69zNIHXkL+nOuQ0JnxUPPvAYA2LZtG8444wz8wz/8Ax5//HEAwOOPP47LL7+81L8VFcUVKSqLk61IVSJhPJFIIJPJVKRhI4rH44jFYmhqair7reRgMIh0Og2z2Vyx45UAFCMO/iwP4VvPHxzxj6pRr8WtF7Xhkwua0NLSosrxOAT85IX/h6//yxdQ/zdXY2jvs5hjNyLiO4Tt27fjtNNOQzAYRC6Xw3/35PHlB55E4KWH0XbD/QCGv4f3XLkUV5w9+t/NhZXITLQHepur+Pjxq1jndWyHL5oc8bXpwCHEX/53zHPUYd68eXj00UeRz+dxzTXXoKurC7Nnz8ZTTz11QpZVteGwOVWFZDKJ+vr6sl+nr6+PO/WoYiwWCywWC8LhMCKRCNra2qDTleev1sKtxP7+fsiyDJ1OB5fLdYqvmrqmpiY0NTXh7+pD6D+vCT/d3YueRHbErj0ACIVCGBoaQnNzc0X+v07Dtuz14Wtf/SpM59+A/NAg+n1/wVHr+cjE+/Hzn/8czzzzDBwOBx555BH8w1kfw3fl7TCcdzlywAnfw9G4bUZIweEokHw6CY3BWHz8WP6PmqhsfxhKLgu9zQVD6zy0fOYHePu424bbtm0r4e+AuthIUcX09vaWfTWqUs0a0fGam5sBDCfp5/N5eDyess01FXYTFm69AcOHFpdyR+FoWlpasH5tCy47O4B0On1C09jS0gJgeMdsYdes0XjyW0bjdfzsz8c//vFiqGkwGMQ555yDLVu2TPk6teqbDzwGxWhFnes0xPf8DrlEBInDncjEY/jP//xPbNq0Cb/5zW9w5plnwu12f3Tsy73j/vO58eIF+Pqj25C1uZBN9EJjMMKo12LjxQtGvK7NWo+urqPIZ4ZgaJ5VfHys24bTARspmlbC4TBXo0hVbre7GLhZX19fbC7KQafTwev1AgB6enqQzWZhtVrLfmpAa2srgOFb+Nls9oQMrEJTWVilm2qkQ2H2p3B47o4dO4rPXXXVVTU/YzMZx+Z59X74FpIH/hvywf+GkstC0Bmgs7mg5DJ4440dmDt3Lj71qU/ht7/9LV555ZUJ/x35t21a3HP9+Xjgj0fQlQA8o6xipVIp3LC0Ad8L1mOo4a8ZgaM1XNMNGymqiKGhobLPTmQymbL/RE40HlqtFqIoIpVKQZIkNDY2ln2mqXCLLxqNQpZlGAyGsqf6t7W1jcjAOn4VrtBQFXK4JtNQybKM5557DnfccQd+8IMfjHguHo9j+/btePTRR0/4uvvvvx8/+clPIAgCli5dikcffRQ333wzXn311WIY8GOPPYb29vaJfmzVHb+LznbBDTCftRY6swP9+7Zh8L3X4LzyTmR3/gJ//OMfMXfuXLz66qv42Mc+NuEg5KGhIQDAp1fOw6dXzoPf74fb7R7xmr6+PqRSKXx29TLoDXX46ZvREwJbpzM2UlQR4XC47Lf1enp6uBpFVaW+vh6iKCIej0OSpIoMpNtsNthsNgwNDRVv+7nd7rKlphfiGRRFgc/nGzWuoRCM29vbi97eXtjt9nEnxX/lK1/BvffeO+r5hFu2bMGqVatO2KHr8/nwwx/+EO+99x6MRiOuueYa/OpXvwIA3Hfffbj66qsn+3GrwrG76JRcFtn+MDT6OuSS/TA4PEjqDdAOhPGtO2/F0/ffgfvvvx9msxn33HMPfvrTn57QYNbV1eHOO+/E008/Da1Wi1tuuQVf/vKXAQz/vTp79uyT1uL3+9HQ0IC2tjYcPXoUn1uzDJ9bU5HfhqrBRoqmhXw+X/OhbjR9VXIgvaCurq6iqemCIBTPEfT5fKMOwjscDjgcDvT19aGvrw82mw1ms/mk77l161Y4nU4sX74cr7zyygnPP/nkk1i/fv2oX5vNZpFMJqHX6zE4OHjCKkq1yOVySCQSGBgYADD8+3iq3fRdkgwFQK4/DCWbhs7WCk2dCYLOAH1jEz525kpsvHgBzmkVcOnjj6O5uRkDAwM4fPgwbr755hMaTEVRIEkS3n//fWg0muKh3aFQqLiqOFrdXV1dcLvdqKurQzAYLOtt7GrGRorKLp1Ol/2Wm8/nK86KEFWrYwfSFUWpSNBmYYUI+OuK0ETO1psorVYLr9eLTCYDSZJgMBiKM1UFdrsddrsdfX19kGX5hLmuwvzPu88+juR7r+A3W34PTT6DeDyOz3zmM/jFL36BcDiMgeClhAAAIABJREFUXbt24ZlnnjmhBo/Hg69//euYNWsWjEYj1qxZgzVr1uCXv/wl7rjjDnz7298uHpY70ZGD4xsfYHzNz8lotVqYTCa4XK5xrxqKHjeO/OUD5DMpGFrmQPvRTJLHZsSfbvu7Ea9NJBI4cuQIBEGA3W4ftcG888478ctf/rJ4fafTiWw2i3Q6PWpzlEgk0Nvbi7lz5wIYvv2Xy+Vm7EkSzJGisjg2R6rc2VGKokCWZd7Wo5qSy+Xg9/vLPpA+mkqmpg8NDSEYDI75OaPRKPr7+2G1WrH9L/0j5n+A4YHl62f1Y+ezj2Pr1q0AgB//+Md44403isGOx+rr68NVV12FX//612hsbMRVV12FtWvX4vzzz4fT6UQ6ncatt96K2bNn46tf/Wrx645viEZrkLRaLcxmMxoaGlRZBY/FYnjoN9vw8J9lKE1zIGiGw1DHyoIaGhrC22+/jdNPPx2PPfYY7rjjjmKD+cQTT6CpqQlf+9rX8Mwzz6ClpQU//OEPYTAYRr2lJ0kSBgcHsWDBXwfIjx49Oubtv+mAOVI0rY02/EhU7QoD6clkEpIkwWKxTHgQeLIaGhrQ0NBQPO4GQNmyn+rq6oqfU5ZlNDQ0nBC+WJjrikajuPup1zGQ0kDQ1yGX6AMEAf0Afn7oEGYNDcHv9wMAfvaz/5+9M4+Poj7/+HuzR7JHkk025x5JAOWQQ25EwBvBHhRQ8cKq1XpUbb0Af2LVVutR2yJt1bZ4S7XVerT1wgNQBBFBUDkEhRx7ZLPJHtn7nt8f6Y4JCYGQDRCY9+vF6xU2OzPfmSSzzzzP5/k8z3HDDTfQ2NiIIAi8s7WRx1fvxumPobJ/jlGVTyKRoLW1ldmzZ/P5559z4403isf82c9+xu9+97t+de+oq6tjz549XHzmWE4YO0ns2tufqNvlcjFhwgT27NnDSy+9RG1tLXq9nvPPP5/ly5cTi8XIy8tj48aNvPrqq/z4xz9mxYoVHfaRKf8VFxd3KEs3NTX1eVPDkY4USEn0KclkErm8b8dHpNPpPj+GhERfoVarsVgstLa2YrVaKSkpyYr30oGQk5MjlsRdLhfNzc191mGoVqsxm82EQiGsVis6na7T9AG9Xo9b0AEhUkEvQjyCTJWLPL+EeP4E3vv7PeJ7161bJ379+mY7D69pJpLWItdpCedb2PDxq6ypCzNv8iA+/vhjxo8fL2bKBUHg9ddfZ8SIEVk/z74gHA6zbds20uk048aNo7CwkJoaDqgb7tVNVu7/1zrcgg6VdQMmQ9vPQKfTMXfuXNatW4fZbGbu3LkAzJ49m8svv7yDgD8Wi9HY2IjFYkEul4vC/1gsRjqdPmS/r0cqUiAl0ac0NTX16ROf0+nspL+QkOiPFBYWUlhYKJpZGo3GQ/qAsLdrulwu73LMU2/RarVotVoCgQBWq5XCwsIOH9pGvRq7D3JytaRjYdKxEIkWK8YyA4IgdFlOy3SxCUKaVNCDPL+E3JoxXD7rVO4pLeDEE0/kkksuYe7cubjdbgRBYPTo0fzlL3/J+vllm7q6OtxuN3q9HqPReMDdjtAWYC58djUJdREyGfjlhdR9sp5PHUlOyfXx5ptvMnXqVAoKCkSbhJdffrlD2c7n8xEOh6mpqRFfy5Q7GxsbO7x+rCIFUhJ9Tl/qCBKJBCqVqs/2LyFxqCkpKUEQBBwORweh+KHiULmmZ46TycQVFRWh0+lYMGOIqJHKydWQk6tBlY5xzTQzW7duxWAwdLomDl+EVDSIEA8jzy9tE1afcRUy4Sds/vXZJJNJUqkUr7zyivg1tPlQZUw+D4buROY9+V77/2e+TiQSfPbZZ1RVVZFMJlEqleJ6935v5mugw/9/8/I6Qr5m5Om2QdO5xiGoB0/hitlnMLCsgJEjRzJjxgyKi4u57LLL+P3vf49Go+GJJ55ou64OB2q1usvfwaamJukh9n9kJZCSyWR64AlgBCAAPxEE4ZNs7Fui/5JOp/vMuwYQR1BISBxtyGQyTCYTyWQSq9WKWq3eZxt6X9GVa3rGxiGbZDJxmQ6+s4cUw9yRe+l/RjN7jIlAIIDb7ebLL7+kvLyc8vJyBEGgWPDTTA7ygu+0OjKZDFORrl+OjKqtrcXpdPKjH/2IhoYGampqDio76WyNoKo4DlmOnKS/GZkyD/20S5BNu4St7WbfWa1Wli9fjt/vp7q6mnQ6TW1tLZWVlV1ev1gshlqtPuZLehmylZFaCrwjCMJ5MplMBRybPZASHXA6nX1SGsgQiUQO+YeLhMShRKFQYLFYCIfDXZbBDhUZP6jW1tY+c03PWCK43W7Glwp8cNPJnT7EM1msYDBIU1MTO3fuRKvVcucF07jjta2dOv3622iSZDLJ+vXrqampYdy4cdjtdgYOHHjQWf3yfBUttAVg8nwDqaAbRX5Jp9l3FouFbdu2odFoCIVCuN1uampq9nncpqYmJk6ceFBrOhrpdbpAJpMVAqcATwIIghAXBMHX2/1K9H/2pWfIBj6f75B1OElIHG40Gg0Wi4V0Oo3VaiUajR6WdRQWFmI2myksLMRms2Gz2cQyWbYwGAyYzWZRQxWPxzu9R6vVolQqGThwIAUFBQyUu/m/M8yY9GpktPkp7csK4Ehlz549fPbZZ0yZMoWioiKampq6DWb2R3NzMwt+NB61si2QkslyABl5cjoFmKFQiLKyMjQaDdu3b8dgMHQbRI0YMUI07ZTITkZqANAMPC2TyU4ENgG/EAQh1P1mEkczfRlEQZsgVvKNkjjWyNgENDc309zcfMgF6Rm6ck3vydiXAyHjOdXU1EQikaCiogKFQoHf78fr9WKxWETpQCgUIs9mY9TMYmpqavp8rmE2CYfDfPnll5jNZiZPnkxrayvhcLjX97doNMoFk48jN08tlkmrLWauODG/U4DZ0tIiGnZOmDCB5uZm/H5/p4pCNBpFEAR0Ol2vtGVHG7025JTJZOOB9cAUQRA+lclkSwG/IAi/3Ot9VwNXA1RVVY2rr6/v1XEljmw2bdrEmDFj+kQjFQwGSSQSnVqnJSSOJQ6nIL0rPB4PoVCoz/RcjY2N1NbWMnjw4H3uPxwOU1dXRywWY9CgQYelDNoTdu/ejdfrZdSoUahUKjweD6lUqtcGrT6fj5ycnC7P3+VyUVBQwNChQ8nPzxfHa23ZsoXXXnuNe+65hx07drBmzRpMJhNGo1Fs6GlvvHms+fd1Z8iZjU85G2ATBOHT//3/X8DYvd8kCMLfBEEYLwjC+GN1Hs+xRl8Jzb1erxRESRzzZATpZWVlWK1WWlpaDut6iouLsVgsaDQaseyXrckZgUCAWCzGpEmTxGHMXe1bo9FwwgknMHToUBoaGvj8888JBoNZWUM28fl8bNq0iby8PMaPH49KpcLlciGTybLich8IBPYZRJaVldHc3AzASy+9xPPPP8/WrVtRKBSMGDGCV199lVNOOYXc3Fxqampobm7G7XZLVjPd0OtPOkEQnIBVJpNliq5nAtt7u1+J/osgCFm7ge5NJBLpl104EhJ9RUaQrtFosFqth73kotFoMJvNGI1G7HZ7rzVdNpuNeDwudq6ZTCZMJhN2ux273d7lvUatVjNixAiGDRvGnj17+Pzzz4lEIr05rayQSqWora2lvr6eoUOHiqOzMjYD2XhADIVC+515p9VqSSaTOJ1Oxo79Lu8xbNiwDh5S0Da3MJ1O09DQ0KO5hFarldNPP50TTjiB4cOHs3TpUgC2bNnCSSedxOjRoxk/fjwbNmzowdkdmWSra+9G4O//69jbA1yRpf1K9EOampo6TX3PFi0tLZI2SkKiCzJjX3w+H1arldLS0sP60NHeNT2j6erKzXxfBINBWlpaMJvNHUaSQFs2zmw2k0qlsNlsKBSKLjuE1Wo1o0aNIhqN8vXXX5NOpxk+fHiPBxVng8w1yM/PZ9SoUaKGtKGhgdLS0qxZCXg8nm7vkel0mtbWVtLpNDfffDNyuZxrrrmGq6++ep/bhMNhJkyYQENDA8XFxR0GTO8LhULB73//e8aOHUsgEGDcuHFMnz6dhQsXcvfdd3POOefw1ltvsXDhQlavXn0wp3rEkJVAShCELUCXtUOJY49UKtUnAthEIpF1U0AJiaONjCDd5XLhcrkwm8196ud2IGTKVcFgUHRNr6io2GdDit1uR6VS7dc1OzOvMJFIdGvLkJeXx+jRo4nFYmzduhWAUaNGHZL7SSQSobm5mWg0itFoFIXwgiBQW1uLxWLJ2jri8Xi3+wqFQjQ3N2OxWHjhhRcYPXo08Xic6dOnM3ToUE455ZRO22RKejKZjOrqatxut/jzicfj+zRErqysFIPb/Px8hg0bht1uRyaTiVnT1tbWo0JnJTmbS/QbnE6nlI2SkDhAysrKREF6Tk5On3q6HSg6nQ6dTkcymRSHJbd3TQ+HwzQ3N1NZWdmjiQVKpRKz2UwsFuvWwDQ3N5dx48YRj8fZvHkzMpmMsWPH9lnno91uJ5FIIJPJGDRokHicZDJJfX19rzyiuqKpqWmf98jnVm3lT+9/TUtKTbHwCb+88BSx+3nOnDls2LChUyAViUSQyWQdMpsGg4F4PI7D4SAYDDJgwID9rquuro7NmzczadIkHnnkEWbMmMFtt91GOp3uMDOxv3J4H1Mkjjr6ahJ4X7ukS0gcjWQE6SUlJVitVtxu9+FeEvCda7rZbMbj8WCz2di5cyfBYJDq6uqDHvuUm5uLxWJBq9Vis9nweDxdvk+lUjFx4kROPPFENm7cyMaNG7Oq68yMvYE2PVJ1dbUYREWjUWw2G4MGDcpqEJXpvuuKJ975jPve3klzSk0yEqAplGThi5+yzhajrq6Od999t8sBzi6Xq0uBeSZb6PF4ROH6vggGg5x77rk88sgjFBQU8Pjjj7NkyRKsVitLlizhyiuvPLgTPoLotf3BwTB+/Hhh48aNh/y4En2P3W7HZDKJU9azhdVqxWw296k3lYTE0U4oFMLj8aDX6w9I53IoiEQiNDU1odFoxFJRth7GMuebn5/frbdUPB5n06ZNKJVKxo0bd9D3mYxmS6PREA6HKS8v75DNCQaD+Hw+UTuWTbq6R8bjcex2Oxe/8A2NgQSCIJDyNyMIaZpfvQ+lPAdTvpzLLruMxYsX89prr3HjjTfS3NxMQUEBo0eP5r333tvnMR0OBwUFBaJ29b9fOjuM9rn5jIEs++U1zJgxg1tuuQVoM3X1+XzinMDCwsLD3iBxIHRnfyCV9iSySl8EOnsP5ZSQkDg4tFotWq0Wr9eL1WqlrKzssAivMzidTmQyWQctVHt7g94ajmbON+OSvq8ROyqVismTJxOLxVi3bh1qtZoxY8Z0uucsWbKEJ554AplMxsiRI3n66adZt24dt912G5FIhBEjRvDnP/+ZRCIh+i1l8Pl8xGKxXgdRS5cuZdmyZQiCwE9/+lNuuukmLrjgArZu3YpSqRSnPigUCrE0Z9efiH7aJbT857ck3G2ZMmWRkZLv38y2h34kWmfMmTOHOXPmEIlE8Pv9B2R3oNPp0Gq1PPnORn67soG4vC1wtHnDXHnVVZwyokYMogCMRiMffvghp512GitXruT444/v1fU4EpAyUhJZo7m5mcLCQlQqVVYzUna7nYqKisPi4CwhcTTT1NREPB7HZDId0tJ5NBqlqampU8amPRnX9FQqRXFxcVZc01tbWwkEAuj1enQ6Xbfr27x5M2q1mhNPPLEtGLHbmTp1Ktu3b0etVjNv3jxmzpzJXXfdxfLly5kwYQJ33HEHgwcP5vrrr++wv4xzeG+HrG/dupULL7yQDRs2oFKpmDlzJn/5y1/QarWUlJSgVCq59dZbycnJ4YYbbqC6uppEIkHxwFFop12OXFeMsrhN3O35YBlFhlLq31nWKZvV3nizO9qbck55cCUNzmaEeARFQSlR2zaa/r4ITcUAji9vC17vv/9+CgoK+MUvfkEymSQvL4/HHnuMcePG9eq6HAqkjJTEIaG7Do7ekE6npSBKQqIPKC8vRxAE7HY7CoWiz2xL2uNyuUilUvv9oG7v2O7xePB6veTl5fXKNb2wsJDCwkI8Hg9WqxWDwdCl51JeXh6TJ08mHA6zfv16NBoNBoOBZDJJJBJBqVQSDoeJxWIoFArGjh2L2+3m3HPP5cEHH+wQSDmdTtRqdVZmg+7YsYNJkyaJaz711FN59dVXueiii1AqlaTTaV588UVWrFghXt9EIkGZTkEsGUZR3KaDEgQBeTrBqUPauinNZjN2ux2z2YzT6Tyo3wOHL4I8T0cqmUBIJckzD6d60RvIgC0Pfr/Dezdt2tSLq3DkIal3JY5oJDddCYm+JePJZDAYsFqt+xRo95Z4PE59fT06na7H2eri4mLMZjNarRar1dpr1/SMC3skEsFms+3TMFSj0TB58mQGDRqE1Wrl4osvpqqqSpz7d9VVV5FMJvnss8+oqqrilVdeEUXm0KZbys/Pz9qA9REjRrBmzRrcbjfhcJi33nqLXbt2UVJSQjgc5uWXX8ZoNDJy5EhSqRSjR4+mrKyMH844k4duuACTXo37zUdofOxSzDle/vLAnUDb74BcLicQCJCTk3PA5V6NRkMo1DZW16hv88EShDQy+Xc5mszrRzNSICWRFdxud6/T1l2RSCT6JMslISHREaVSicViQaVSYbVaCQQCWdu3y+WipaWF6urq/bpud4darcZisXRwTe+NY7nBYMBsNuP3+7FarcTj8S7fp9PpGDp0KJ988glLlizhlVdeIZVK8eijj/Liiy9yzz33MHHiRPLz88XseW1tLWVlZVkd5Dxs2DAWLVrE2WefzcyZMxk9ejSCIBAOh/H7/axevZqLLroIaPPY2rJlCzabjU8//ZQTi9Osvf0MAl+9R8TXwrQJo/nnP/8p7ruyspIvvviiR0J/vV5Pa2srAAtmDEGtlAPfBbhqpZwFM4bsY+ujBymQksgK0Wg06y7KLS0tfRKcSUhI7BudTofFYiGZTGK1WonFYge9r0QiQV1dHVqtNqvGixnXdIvFIpp8er3eg95fWVkZFosFr9eLzWYjmUwC8PpmO1MeXMmA299kwlX3I6iLuOqqqzAajQwcOJBPP/2UKVOmsGbNGtGH6fjjj2f37t1UVVXtN7OzdOlSRowYgVqtZvjw4QD89a9/RavVolar0el0LHr4b+Iapjy4EsPYmWzatImPPvoItVqNyWRCqVSy1hrjyeX/4JHdJUx5cCWvb27z6YrFYkyfPp133nlHPK5cLufCCy/klVdeEV9rbGykpqbmoAPT2WNMPDB3JBUFecgAk17NA3NHMnuM6aD215+QNFISRyyRSKRPpshLSEjsn6KiIoqKikRBek/tR1paWojFYvt1J+8te7umZ8xHD6bLNyMjaGxs5M0tNn63tplINEYq7COcW4z1oy08+upHXDFzPD6fj9GjR/POO+8wcOBAqqureeCBB7jqqqsOyGhz69atLFu2jPnz57Nlyxbef/99vv32W2655Rb+8Ic/cM0113DOvMv4/a8WYb5hOQB2X4QFz68BpjGyIMorr7zCxo0bWbk7wE1LnienyIy8oIQGh5OFL3hIpycxIj/CqlWrWLhwId9++y3HHXccgiDwn//8h6FDhwJtRqhyuZzKykqsVutBGx/PHmNiQtlUcYbgsYIUSEn0Gq/Xm5Vhm3vvszvfFwkJiUNDTwXpyWQSm81GSUnJIX0Q6so1vays7KCkAZWVlTz1zHZarbuQ5eSgLBuITKUht3oMC6+7lL+UFTBmzBhuuukm7rzzTm666SYikQizZs3iwgsvPKAgbseOHYwYMYL33nuPxYsXs3nzZl599VUA0eTys50NyPI6+n1ZX76Xi54PUG3Q8Mgjj1BaWsrDT67E+9VqtMNOIR0Lkwp6qPvnEuY/m2BgWQHz5s3j+9//PtOmTcPv9yMIAieeeCKPP/64eLyMOF2n0xEIBA7KZ+xYNU6W7A8kek3GhLM9vbU/6M1TkYSERN8Qj8dpampCq9VSXFzc6fsej4dQKHTE/O02NTWRSCQoKCjo0j9qX/j9fobf/go5OgPIZMTsO1CV1pCTq0UG1O7Vheb3+wkGgygUCmpraykpKaGmpqbbbuMdO3YwceJEXn/9dRKJBBdddBHz589n4sSJXH755chkMlJpgdJ596IymCGdJEdTiBCPIJPlsHbBNPE6D7j9TQQgFfKSjkdQFhlJJ2IQj9Dwp0u6PdfGxkaKi4s7lCF7cv9tb4HgdDopLS09Krusu7M/OPZCR4lDQm8C9EAg0K3Hi4SExOFBpVJ1EKQHg0GgLRNRV1eHQqE4YoIoaMummc1mBEHAZrPR1NTU7fvT6TT19fWkUimqqqoRkglS/hYUBaXIVG0i+b270DwejziQuKysjEmTJqHVatm4cSO1tbWi3mpvdu/ezfjx41m4cCGLFi2ioKAAuVzO3XffzcKFC2loaKB4+FQ8b/4eRb4BeUEZCVcdQjqFqczQYTixUa9GEAQSXifKoragJh1pxWLq/mE2U9LbW8tVVFR0UJqzvhpYf6QjlfYkekXGRTfb+zySbsYSEhIdyZTRPB4PX375JVqtNusDeLNJxj8qHo+L9gR7u6a3tLQQiUSoqqpCJpNx1bgi7n/bRaKwDEFIkwp5yS8q7dCF5nK5UCgUnTrdKioqqKiowOFw8Pnnn1NeXo7RaORXb37Ni59aSQkCrR8+R+qb7RTr1ESjUVpaWnj77bepq6vj/vvvRyaT8cCDv+WaH04mnYiRDvtQGQeTm44xpyreocS6YMYQbnv6A1IFbaXUVDSIRlew34659iW99uh0OqxW6wFJNoqKivB4PF1mKI8VpEBKoleEQqEuhYUHe0ONRCKo1Ue/74iERH8nnU4TCASorq4W/ZiO9HmYmYxae9f0jBeSwWCgpKSEWCyG0+nk4lNOoKikTJwdV5qv4s52XWgOhwOdTtdtydBoNFJZWYndbueapa/w7p4Icm0RMrmSgikXEx86jVlThzFKqOOmm25i7dq1VFRUsHz5ci699FJ2rXoZjVZHeV6aFmU5Rr2aW6ePZlRhjNraWmpqapDJZEwxq0i+8yBef4REMk3JkPH89s9/FNf685//nKeeekrMIGbW3538orS0FJfLtV87BLVa3auOyaMBKZCS6BXZvmlmhl9KSEgcufh8Pvx+v5i9KSwsFMtnKpXqiDfRzbimOxwOmpub0el0RCIRotEosViM6upqotEo918zh1gshiaZ5Mwf/ICzjv8+tbW1zJ07F7/fz/jx43n++ec7CNqj0SinnHIKsViMZDLJeeedx69+9StWNWtp/fTvRL79FFmOAu2os4ju2cRf/hvAUqhkxIgRlJSU8Otf/5qrr76aq6++GrlczhPLlnHRReeJ+28b5zIIaBvlUlFRQTgcZsV/X2PIkCE0NDRw3nnnURGzAiY2btzYKdAJh8MoFIpuhfh5eXmi6L0n1/VYRAqkJA4av9+fVS1TPB7vUPeXkJA4shAEgYaGBgoLC6mqqurwPZlMhsViIRaLYbVa0el0We/mzRZ+vx+fz0dlZSVGo5F0Os2uXbsQBIH8/HwEQSA3N5eVK1ei0+lIJBJMnTqVKVOm8Ne//pVbb72V+fPnc+211/Lkk09y3XXXifvuartzzjmHwFcfIMRCGK/+G+mQj3Qiin7yBQDsbidev+OOO1i4cCFWqxWTydRlsJMJWGpqati0aRMWiwWFQkEqlRIDOJlMRiqVYsGCBbzwwgu89tpr4vb7KunV1NSIpqIKhYL169cza9YsGhoagLYAWq/Xs2XLlg7bCYJAIpE4JvVRIAVSEr0gEAhk1S+kqalJykZJSByhtLa24vV6qaqq6rbFPTc3F4vFQiAQwGq1Zm3gcDZIp9PYbDby8/PFQDATVA0ZMgSZTCZaPQCiIXAikSCRSOBwOPj000/597//DcBll13GPffc0yGQkslk4gNmZjuZTEZwy9sYfngbOXIlOQWlpONRkv5mlOqOpcFAIIDP52PAgAGd1t/Y2NhBGxWNRjGbzTQ1NVFUVMSoUaOor6/n+uuvZ9KkSSxdupRZs2Z1KOHtr6S3atWqDrYVjz32GEajkZycHG699dZ9amJdLldWTVf7E1LXnsQRwbHqPyIhcaSTyUKl02lqamoO+O80Pz8fi8VCNBrFarWSSCT6eKXd09LSgt1ux2KxiJkyu91OMpkUS5Tw3ezBzOiY4cOHU1paysSJE5k9ezb5+fkoFG05iMyw371pP+du+vTpTJo0iZxAE+Eda2h89iaaXrqbVNCNoqCUOSeW0tDQQCqVwuVyEYvF9vlAmUwmO2Ttm5qaKC8vp6ioiLy8PJ577jmsVisbNmzgo48+4uWXX+bGG28U3x8KhfZb0tsbk8mE3W5HEAReeuklcQRNe9pfu2MRKSMlcVAEg8GsPmVmJo9LSEgcOfj9fjweDxaL5aDLNgaDAYPBIIq7TSbTIf3AjcViuFwuiouLxUxLJBIRMyjdyQnKy8v59NNP2bFjB7/4xS9Yv379AVm7ZObc+Xw+5syZw9atW8kRkowbVEbtlKUEvl6L5+0/cuufXuS+2SMRBIFPPvmE8vJyBg0a1OU+9x6Z9ezKL3n8YyuN3g1UFOZy1cQKrpw5nvr6eqZNm8aqVatEJ3No00UNHz6curq6fa5bJpNx9tlnI5PJuOaaa7j66quRyWQoFApWrVpFeXk5xx9/fJfbpdPp/V6XoxUpkJI4KFpbW7NW1svcmI7VpxkJiSMRm82GWq3O2oiXyspKsbR2qATpjY2N5OTkdMjwuFwuBEHoUiMEbfP1Mp16Zbkprp1q4YrpE5g5cyY7d+6ktbWV7du3c9xxx2Gz2TCZTB22MerVLJgxhNljTOj1ek4//XTeeecdzGYzy+66ngEDBiAI56DX/5n7Zo8kGo3S2NjISSedJM43zM/P7zTZof3IrFc2NnDv61/kJ1ZBAAAgAElEQVSQ1BSTioWx2j08tMJPaaWJGUMrWLFiBbfccgtOp1PcXqvVsmvXrm6v18cff4zJZMLlcjF9+nSGDh3KKaecQmVlJQsXLuwyGwVtHX5fffXVMfswLAVSEocdh8NxzM1mkpA4UgkGg7jdbkwmk1jCyhaZoKavBemBQACv10tlZaWYccqMjiktLUWj0XS53eub7fzfq18RSaSIu63YcuT89iMVGt23vPfeeyxatIizzjqLVatWYTAYeOyxx6g8YZK4DSDOuYPJzBhaLG43e/ZsVq1axYABA/jwww8ZPHgwXq+XaDQq6qEy9gx+vx+r1UppaSl5eXm0trZSUFCAz+fjqquu4o1V60ghp3j6dYR3riWyewOpsJ/z/qrg+AFVXHTRRZx11lli6S8UCon73/t89w4ATaa20Tpz5swRBzEnk0lWrFjBXXfd1eV1UygU+zQePRaQAimJHhMOh/d5IzoYJH2UhMSRgd1uJzc3d5/ZmmzRV4L0rsTk0Da7MxQK7fe8Hl6xk0giRSrcSjrsx/P+X2kW0lyxDG7/2RX84Ac/4IQTTmDu3LksWbKEMWPGUKc9kYDbiUyuQK4tEufcXbJcYIBBw7x58/jBD37A1KlTueSSS1iyZAk6nU403exK+J0ZadPc3ExLSwvpdJqqqiouu+wyTj31VDaYzycVC0M6Sa75BIrOvIochQrv6qeZdeogMeAJhULU19eLX7enfdAIYHV5Wfjip8Akpg/W8+6774r7ef/99xk2bBh5eXldXrdoNNrJHf1YQpq1J9FjupqttzcHOmsv021yMINFJSQkskMoFKKlpWW/mqG+wu12Ew6HqaioOOjjZ/bR3hRUEASsVqvobL4/MjPrkgE3ivzv9Eh7z9dLJBJ4PB7Ky8vFbYRknFQkIG7X1Uw+aBOiNzQ0YDQaDyj4CIVC7N69G61Wy1lnncWKFSu46MlNtKTUIJORCreKx8yzb2Jceid///vfxe2tViuRSISampoO99kpD67E7ot8d04+J82v3odSnkNNcR4XX3wxixcvBuDyyy/npJNO4sILLyQnJ6eTCWlGcH80Vxa6m7UnZaQkDivxeFwKoiQkDiMOhwOlUtnnWaju6I0gPRaL0dTURHFxcQcxdqZEabFYDjjjbdSrOwQX7V9vj1KpFLsQM9ukIn7kOsM+t8msyePxdGltsC88Hg+jRo1i/fr1KJVKFi1ahHfHN7SqzWjGz0ZlaNN/qZVydPVrOOfqy8RtQ6EQeXl5WCwWbDabmOkSBIEGm51UuBUhlURZbEKpr8D4kz8jA7btFQA+88wz4tdWq7VTIJWxjThWkeopEj0iGo3uM73bU1paWjr4lUhISBw6wuEwdXV1lJSUUFpaeriXAyAaZNpsNlwu137f39jYKHpbtTcHbmxsJBqNUl1d3SPZwIIZQ1ArO3YnqpXyLmfW5eXlEYlEOmyTCf662sblcomz/A6UjElxKpXCarWyZ88err/+ehKhVlJ71tP84u00PnsTJr2asZ5VxFtd3HvvvQwfPpyFCxfS0tIi/mxzc3Opra1l06ZNbNy4kXKdEmWxidzK48nJ/U6q0VUA2J7MbD2J75ACKYke4Xa7Ozz19QZprp6ExOGhsbGRQCDQqdxzJJARpBcUFGC1WvH5fJ3eEwgEaGhowGAwdDCojMVi1NfXd7A66Amzx5h4YO5IKgvzkAEmvZoH2s3Xa09JSQkej4fZY0z8ZvZwKgq63ibjw6XRaHocsD73wRdUDz2RvLIafnzdLchycjjrrLOQy+Xcc9cvqaksJe78lgu129iy+g2Ki4v58ssv2bZtGz/4wQ9Ec1G73Y5MJsNgMFBQUEB5eTl3XjANzV73330Fje3R6XSd9FaCIHTI0h1rSKU9icOC1+vt1N4rISHRt0SjUZxOJxUVFVnLLPcVmZJUpoPNYDCgVqvFbr+9MzstLS0kEolelyh/MLKck02n7XdYb3tOqpSz4Tfnd8p+xWIxHA4HVVVVPfbhenWTlfte+phUWqDsvMUo9eU0v/RLHn3tI9LpNDt27CCRSGAwGFi6dClDhgzh0ksvpaWlhWAwSHV1NVVVVTidTlKpFEqlUgwuk8kkqZSV+2YN4w8f7O5k27A/ysrKxI7ADKWlpTQ2Nh6T7uZSICVxwMRisaw9vQaDQWkcjITEISTjKZQtX6hDRUbXs2vXLlpaWpgwYUIHQXo6naahoYGSkpKsSAWam5sP2OOqtLRU9KXaO4jyer1EIpEe6aEyBINB7l72GkJpmzmnkE4hU6jQn3kNi278KXGXk2effRaLxYLX60Uul/PBBx+wceNG0SPr7rvvRi6XU1FR0cnGQqFQMGDAABQKKytumNjjmam5ubnEYjEEQSAUCqHVao9pH0ApkJI4YFpaWrLSlREIBLI67FhCQmLfxGIxGhsbKS8v75el9IyY3Gg0MnjwYBwOB4IgYDQa8fv9tLa2Ul1dnbUP8q6Con2hUqmIx+Odju1wOFCr1QeVnXE4HKhUKrxoSTm/hXQKz1tLEADt0GkUnHENt4xqG7J83333tRl9LlvGHXfcwZgxY5g1axZqtZobb7yRPXv2dHtdLBYLLpeLaDTa4yDUZDLR2NgIIJ7nsSo4lwIpiUOOz+eTslESEocAl8tFKpXqd1moDJksWvsyntFoJJVKsX79egwGA4MHDz5cywPaMk8DBw4E2rJj9fX1VFZW9rh0mim7VlZWsmnTJvRCAI8yl5JZC1AUGUlHArS88TCqYhN/e/ZNPvt4NYWFhWg0GlavXk1JSQlz585l2rRpYraovdh8X5SVleH3+7HZbD1yJpfL5QiCcEyPhskgic0lDohEIpEVl2NJYC4h0ffE43Hq6+vR6XQH5Od2pBEMBkWjzvZicmjrNrTZbEyYMAGLxYLVaqW1tfUwrRSKi4vx+XyEQiFsNhs1NTU9DqKam5tFUf3df36eKx5dgU9RRI4yj7yqkSjyDajKasirPpGo81t2797DcUNPwGQy0drayh//+Ed27drFtddeS0lJCZs2bcLhcDBt2jRmzpyJ3+/v9vgZAXptbS2pVOqA1/3yyy9z2mmnMXz4cB555BHx9T/96U8MHTpU7B482pECKYkDwuVyZWU2lmR5ICHRt7S0tNDc3Ex1dXVWJxAcCjIdbvF4HIvF0kmT2dTUJAqpFQoFarVazG5njCcPB83NzYRCIaqqqnpUYvR4PKxbtw63282OHTt46aOv+JdVTaRiFAhpZOoC0rEwAMmgm5h9B/K8AnI0hYQEFXq9HplMxrZt21i7di1nnnkmI0aM4KKLLuKhhx7i66+/5oc//CG//OUvicVi3a5FqVQyYMAAbDZbp668rti6dStPPPEEzz33HBs2bOCNN96gtraWVatW8e9//5svvviCbdu2cdtttx3w9eivSKU9iUOGZL4pIdF3ZGbJGQyGfvmw4vF4xCaUvYORRCKBw+GgrKysy4x2xrm8ubmZ5uZmjEZj1ucEdkVGX2Q2mw9IHxQOh8XMU0Ykftxxx2G32xk2bBh3frqdaNxNTl4uMmUe6Ygfx7JrQSYDBHJydeSP+z6pkJvwtxvETkCn08mIESN44YUXgLbrcdNNNwEwa9YsZsyYgc/nIx6Pd3B+74rq6mrxvLqzutmxYweTJk2ipqYGj8fDqaeeygcffMCXX37J7bffLrq296T7sb8iZaQk9ksqlepx625X7N0uKyEhkR3cbjdOp5Pq6up+18gRj8dpaGhAqVR2mdHxeDy4XC6qq6v3KwsoLS2lqqoKl8slji3pK2KxGN988w3V1dWUlJR0mfGJx+PY7XYcDgcOh4NYLEZlZSWJREIc1rxt2zby8/NJp9PUfbsLIR4lZv8auboApb4Cua6YysuXYrr6b5h/9jQyuYK8mtFMuOUpvvzySwoKCjjvvPM4++yz+dvf/gbA8OHD+fe//w20ld+sVivl5eWYTCbsdjstLS3dnltZWRkKhaLbazhixAg+/PBDsRT4xhtv0NLSwtdff82aNWuYNGkSp556Kp999tlBXd/+hJSRktgvTqez194gqVRKGkwsIZFlMnPbSkpKsmaU21fU1NSQn5+PXC5HoVCwceNGbr75ZlasWIFKpaKsrIxnnnmmQwdYQ0MDRUVFPe4WzgjSrVYreXl5B2yEeaAWL62trQSDQWpqasTMl0qlIhqN4na7EQQBn89HKpWitLRUzFa5XC527NgBtAVZer2eU089FbvdziWXXILnq29IpkEzbBrqAWNIRQKkQl5cL92ForCM0nPvQi5XUjx4Agu/dwIAd9xxB5s3b2bp0qVMnz6doUOH8tRTT/Hzn/+ce++9l1mzZonnlJOTg9lsJhKJYLVaKSoq2mfgXVhYSF5eHrW1tV06xA8bNoxrr72WOXPmoNVqGTx4MHK5nFQqhcfjYf369Xz22WfMmzdvv92D/R1paLHEfjmQIcV7s/fQYqvVut+UsoSExIHj8XgIhUL95u+qpqaGjRs3UlJSIs6cU6vVYpDzxz/+ke3bt/OXv/yFQCCAx+Pp0Zy8fRGJRGhpaaGgoGC/g4sdDgeVlZXdXs/6+nqCwSCpVAqdTkdrayvJZBJou++NHTuWnJwc9Hp9B42aw+EgGAySm5uLIAgYDAby8/PF7fbs2cPXwVzu/88X1P99MWXn3U3oq/cJfvEOhnITPq8HeUkVY6/+HacPLWXV183Ymty0vvlbLv/xpTxy58+555570Ol0HXRJu3btYv78+WzYsKHTuXi9XoLBIJWVlfsshQqCQH19PWVlZby708vDK3aKBp4/GVPAlTPa5vjeeuutGI1G/vvf/3L33Xdz+umnAzBo0CDWr19/xIwhOlikocUSB006ne71TToTrPeHm72ExJFOxoCyuLi439mIZLJMWq22kzN5KBRCJpPhcDjIzc3N2hDljCC9tbUVq9VKSUlJlyVCQRBwu9373E/G2iA/P5+ioiIaGxsxGAyMGDFCNAjtykIgEolQV1eHUqlEp9ORTCY7lTArKytJJpOY02nk8nHcsnIA6YCb+O5PuWvpU/zkeyfj8/kYP3483yvxsnxTnEgihfej50mkZbwTPZ5/rPuGd999l7vuuguXy0VZWRnpdJr77ruPa6+9tstzKioqEs8ls469kclk1NTU8Mz7W7j/nW+IK9qCQ7svwr3/2oGhrJKxhhRvvvkm//rXv0gkEqxatYrTTz+dXbt2EY/H+6VmrydIgZREt2R8TXqDw+HIipGnhMSxjtfrJRAIZNWA8lAhCAKnn346ubm5XHPNNVx99dUALF68mOeee46CggKef/55SkpKst6UEo1GCYfDyOVydu3aRSQSwWQyddJ+arXaTjKGQCCA0+kUOyGLi4vRaDTk5OR0uq8ZDIYO80hdLhcNDQ289dZbLF++HLlczujRo3n66adZu3YtCxYsIJ1Oo9VqWbx4MaeeeipNq78g1LiH/JlDSAS9DBg8nOLiYjHz+PgLr8GwswltX03UuhWENHv+9jN+skxg8c9/ysyZM1m6dCmPPvooAHPnzuWKK67o9vpkArnM+J2Mfqs9yzZ6iCbTpCNuFPlt59f45h+5+D+/5fgKPY8++igDBgxg+vTpLFmyhBEjRqBSqXj22Wf73e9qT5FKexLdcjBlPehY2rNarf3uyVlC4kgik8kpLCzsdzMq4/E4TqeTSCTCkCFDcLlcTJ8+nT/96U+ccsopQJt9wJIlS1AqlfzqV7864H2n02ncbneHYbkymaxTB11eXh5FRUXiB7ogCDgcDmQyWYfAyeFwUFRUhNfrFV+LxWJotVqx+ywajTJlyhTi8TjpdJrzzjuPX/3qV1x++eV8+OGHaDQaFAoFt99+O2PGjAFg+vTp7NixA51Ox7x58/je977H/fffz7///W+GDRvGfffdxxdffMEPr/slP533fXTj55BrGkrj87diueBu7rl0OqcMLGTo0KEY5vwSZDK8K5+g/OIHkWvaypUyoPbB7/fgJ9M1wWAQr9fbKXNXs+gNkkEPQjKOoqAEchSkgh6U+YYOx12/fj0nnXRSr9dxpCGV9iQOimwE2U6nU+rUk5DoBa2trfh8vh57FB1uXt9s5zf/+gRna5Qqs5EFM4YwhLaOsDlz5rBhwwamTJmC1WqltLSUa6+9lu9973tiIBWJRPB6vchkMiZObJsHl5OTg0Kh4O2332bbtm3cfvvtJJNJlEoljz32GBMnTjygtclkMkwmE8lkktraWgKBACUlJWJZMRNcZUqBGS0TtM2Ze/HFFxk8eDCJRIKpU6dyzjnnAPDwww8zaNAg/H4/Y8eOJRgMiuXCeDxOOBzG4/GgUqnwh2PMffBVgjoz0bWrGD/YzA1Xzkcz/AzyR88g6Xchz8un8a1HufH9ZZgLFOj1eo4bN40ND81HSCVo+uedbWsyDmHUBQuy8nPT6XTodDrRjyw3N5dkMklJTohmXREyWZtmLRVuRa4uwKjvWCYdOnQoX3/9NUOHDs3KevoDUiAlsU+yUdZLJBKSd5SExEEgCAJWq5X8/Pys6YUOFS+u3cUv/7mehKoAua4Iq8vLwhc/BSZx5nEFvPnmm/z0pz/ltdde4+STT8bv9/Pcc89RXV2Nw+EA2rRNGeG3XC5nzZo1HbQ2l19+Offddx/nnHMOb775JgsWLOCdd94hmUySSCRIJBKkUqkOWagMjY2Nov5ToVCg0+mwWq2Ew2FisRj19fXY7XYsFguBQIBAINAhiPX7/TQ2NhIOhwmHw7jdbsLhMGvXriWZTCKTyXj//fepqKhApVJxwQUXYDabycvL47TTTiNaMgT55B+z858PIMuRI1NpWBMOI6iLKBh5FsmgB7nOgHrgOBT6cvQnnc8V+q/weDycPGMI/xd6ikjiOwdytVLOghlDsvbz83q9xGIx5HI54XAYrVbLnfOm8n+vfiUeV0gl0KjzOh1Xr9ezc+dOBEEQr1kqlWL8+PGYTCbeeOMNVq5cyW233UY8HmfcuHE8+eSTh8T3q6/ovyuX6HPS6XSvOmYkF3MJiYPD7/fj9Xqz0rV2KBEEAZvNxpJ3tpHUGJABydYmYq5aGlc9xUVPyTAW5nLmmWcydepUFixYwJ133inqjR566CFxX5FIhGg0iiAIpFIpnE4n8Xhc/H48Hqeurg6Hw0F9fT0Gg4FIJIJSqUSj0aBUKsnJyUEmk9Hc3CxuK5PJGDNmTKfretxxx7F9+3Y8Hg95eXmcfPLJnc4vlUrx7bffotFoOOuss6irq+Pyyy/HYDDQ1NTEpk2bWLFiBWPGjOGpp54iNzcXr9fL559/Tn19PXq9nvPPP58Hn/wX3i8/pHzerxHSKULbVxPc/BZKgxnXy3cDUDj5AgpOOg/PO3/EufV93h89lJdeeoni4mKADt1zC2YMYfaY3ulQg8GgOGpHr9d30EnFYjHGxVzcOb2ax9Y14vBFqCjI4865I7s8bsavKiO8X7p0KcOGDcPv95NOp7nsssv44IMPGDx4MHfddRfPPvssV155Za/WfziRNFISXZLREBysSLyxsZFkMilpoyQkekAmENFqteIHZn8h40xuNpsZdMfbdPXJIsSjfPSL8ZjN5h6Z/A4YMEDUOGWE6jt27GDGjBni4Nx169aJmTufz0c4HBa3PxABezgcZufOnVx22WVEo1GSySQ/+tGPWLBgAU8//TRPPPEEdXV1bN68mdGjRwNtYvKZM2fym9/8hhNOOAFBENDr9cy66Ap2R/JQnTQflXUDltBO3n/9HwA899xz3LDkH0TqNlM2715kCiUIaZr+eRcVlzyErrCYSCJF0t+MoqAUtVLOA/sIWHpLLBYTzTm1Wu1+9Xetra34/X7Kyspwu9379BfMGHlWVFTQ2NjIZZddxuLFi/nDH/7A008/zUknncTu3bsBWLNmDQ888ABvvfVWFs8s+3Snkeo/jzoSh5TeupB7vd5+J4qVkDicBAIB6uvrMRqN/SqI2tuZPCcnp5NuBiAV9FKukVFdXd3jSQkff/wxn3/+OW+//TaPPvooH330EY8//jhLlizBarXywAMPMH/+fNFBXKlUYjQaxX+ZIEoQBFwul/i+zD+73c5bb71FYWEhH330Ebt27eLrr79m9erVfP7556gHjqd43m+QF5Rx+dOf8fpmO3v27GH37t388Ic/ZMOGDSiVSmpqalhdG6KuZDLuuh0IgF9eyJq1n/DPdd8iCAIffPABJZZBpKMhUiEfCGkiez5HoS+nyljBA3NHUqGGHGUeJr0660FUOp3Gbrdjt9vx+/2YTCZMJtMB3a8LCwuxWCz4fD5sNlu3Olqj0YjD4eCmm27it7/9rZgBLCkpIZlMkkmm/Otf/8JqtWbn5A4TUmlPoktSqVSvatbBYLCDQFNCQmLf2Gw21Go1NTU1h3spPcLpdCIIQidPqAUzhoh6GiGVIBX0otUbuOPccQe879c32/cqX8HsMSbmzJnDunXreOaZZ1i0aBEOh4NZs2Zxww03UFlZidvtprW1VSxTtUcmk1FSUiL6PkFbJqq5uZnJkyd3yMBntE5fuRI8ucVLTKYABBpdzfz8d89x1/yzuHDaSH7xi1+wYMECUQ/023e+xrdjLUqDGSGdItc4BPXgKVwx+wzuLStgzJgxPLT4Zm5MyvCs+DPIZMgUuVScfbVYohtXks5qNl8QBJxOpyjXMBqNvWpcKCsrI5FIiL+3XUk4ZDIZH374IQaDgXHjxrF69Wrx9X/84x/cfPPNxGIxzj777KyMIDucSIGURNYJBAJSECUhcQAEg0FaWlowm839SmwbCoVwu92Ul5eLw2nbk8mg3P/qBhr/53vVEx3P65vtYiCWjkdpcAa47RkHjoZqXn/9da655hrKy8v55JNPOPnkk1mxYgU1NTU4nU6Ki4u7XFNXZKwT2ovcU6kU48aN49tvv+X666/nDVchSY0KWSyMkIiRaK7H++V7/Pz9v/KwPpeLL76Y888/nzPOOIPm5mZ2Ov2oygZSdPbPSIW8IEDh1IvJmXYJW/9nE+ByuVj6y5/zxw9n4/BFKMtLc/EJamaPMREOhzs4ovcGt9tNNBoFoLy8PGu/Y01NTVRUVKBQKAiHwx3Gzby+2c59L31MS1pL8tO3CG39gBUrVhCNRvH7/cyfP5/ly5ezZs0aAN5991127dqVlXUdLvrPX67EISPjinuw+Hw+qawnIbEf7HY7KpWqX2WhMhoutVrdKQu19/vGFCf5YOFZB/VQ9fCKnWIQFW34Au/KJyFHzq0vCCy6/kquu+46Ro5sywYlk0ny8vJ4+umne9RlbLPZKCgo6DSjUC6Xs2XLFnw+H3PmzKFuYBU56kKEdAqZQkXeoPGoKo5HVVTJzj9dIm63cuVKAKY8uBK7L9L2Yq6mTSwfcFNamCcK5xOJBBdMPo4LJh8HtP0upNNpEokEbre7V9mo1tZWAoEA0GYQ2hczGNtXLDQaDRqNBo/HwxNvf8bvPnYRSeaRjvpQnHQJpePn8Ks5J1KZcPC73/2O5cuXi58xsViMhx56iMWLF2d9jYcSKZCS6ETGl+VgCIfDqNXqDgZ5EhIS35EpJVVWVvYra5CMq7rZbO62kzAzJ683vleO/wUiOao8NMdNQnPcJKDNdPKee9qyOlOnTmXTpk093ncikRCNhpVKpVhCbLDaqLKYxcyZXq/n5JNP5pt168gZdx4yhQqQIcQj5JqGUKZs04btfT3alzWhrZSVbyjnjtnDsdvtNDQ0MHnyZKCtm23ZsmUkEgmuu+46Zs6cyZNPPskLL7wgzqa7//77+d73vtftOYXDYdFEND8/v9OYmmzT1c+1uLiYp7/YQtDnBpkMhDQAcYWG3//3c343s0J878MPP8wbb7xBOp3muuuu44wzzujT9fY1UiAl0YnedHJmnqYys5skJCS+o7GxEblc3q98oRKJBI2Njej1+m6zUEDW5uQZ9ervsjp7vd4b/H4/fr9fzAK2LyEKQIPDycIXPKTTkxiuC7Ny5Uouu/BaXm1RE/C4AAFFfgkalZLFc8disRix2+3I5XIxG5YpX3ZlT+D1ejnhhBOw2+3s3LmTZcuWsWHDBpqbm7nyyisZNmwYADfffHOHwcNdkUgkcLlcQJvn1qEcw7WvzwiHL4Ii34CQSiIkouLrzbG20ThvvPEG0BZIPfzww4dkrYcCKZCS6EBvvJ/i8Xi/esKWkDhURCIRmpqaqKysPGD9zpFAU1MTqVRqvwFUJBLB5XJlLcu2d1YHem866XQ6USgUHbI1mRJihlTQQ92Lv2P+s2kGlhUwb948bvvp+ey++U5e+8fzpIIemp75OUPPnM7se18EwGw2k0gksFqtaDQaDAYDs8eYOunBBEGgtbWVmpoa9Ho9a9euZcSIEXzzzTcMGTKEqVOn8vHHH5NKpUgmk12egyAINDY2IggCCoXiiJthmgmAZXIFMrlOfN1cbiAQCBy1kg/JR0qiAwc7Ww86ztRrP2tPQuJYxul0IpPJ+tWopFAohMfjobS0lLy8vG7f63K5SKfTVFRUdPu+ntK5a+/gTCcFQaC+vp6ysrJOIu4Bt7+JAAjpFMnWJmQ5CnI0BciVedQ++H2cTic5OTkHrBnNXDe9Xt9JG7Z3GXDHjh386Ec/4uWXX0aj0TB37lxOO+00DAYDTzzxBMXFxYwfP57f//73olM7tA0YPpwmralUSgya96Z9hi9Dxgfr7CFFhMPhfmvSLM3ak+hzUqlUv3JglpDoa6LRqOjHtr9g5EihvZh8f4LnVCqFzWajpKQErVab9bV0ldXpKZlMYHV1dZe6HqNejc0bJhV0I8SjKMsHAlChk1NfX9/jn51Wq0Wr1eL1erFarZSVlZGbm0soFEKj0XS4Rw4bNoxFixZx6aWXUlhYyOjRo4lEIsydO5dbb70Vm83G448/znXXXcdzzz13xGT7Mx17XdFdWRMQ5w4ebUiBlISIx+M5aCNAh8PR5wJHCaUebXcAACAASURBVIn+gsvlIpVK9Sst1IGKyaGtMzfwP1uDI5WMtUF3XZHXTCzl169vhvxSZHIlQiqBKh3j6kmDe3VuRUVFFBUV0dTURDweJ5VKUVNT0ynLdsPUqaxZcx6BQIBHH32UsrIyCgsL2b59O4lEguuvv55zzz33iAmiMnT3+9FdAFxRUYHT6cx69vJwIwVSEiKRSOSgAqlMebg/TaaXkOgL4vE4jY2NlJaWZs0LqK/piZg8k7HKz88/osc/2e12dDrdPlv/M5qucycNpKComIdX7MQupMn317H4x+dw4cnHZ2Ud5eXlNDY2Eo/Hefq9zfz2oyax7GX3Rfi/Z99HfuVMcpu28vLLL/PBBx+gUqmYNGkSiUSCW265heOOOy4ra8kWvZEDKZVKEolEh4HGRwNSICXRa3ozk09C4mjB5XKRTCaP6CzN3hyomBza9D8Z89Aj1Yk6mUxitVoxmUxdZnEygWD7zsLZY7ScWqMhFAoBY7OaWY/H4wiCwKBBg5j/4goCbicyZR45eVpSQQ/2p27iwqchV6nAYrFQXV3NiSeeyPbt21EoFCiVSu69915sNhtKpbJf6ez2xd4DjY8GpEBKAujdbLzM2AEJiWORjC9RaWlpn2iF+oKMM3lZWdkBaYCcTucRb9sQCATw+XwMGDCgy++3H6qcuV8JgoDVakWv12M2m4nFYr02JG5PY2OjeM2cwSSKglLS8QipoBe5phC5Vk/ZuXfhePpGcZs5c+Zw6aWXivYHTqeTwsJC5HI5NpsNlUqVtfUdDnJycsjJySGZTPYrN//ukD79JIA2Q7eD+RA4GuvdEhIHSktLCy6Xi5qamn4RRGUCh0gkQlVV1X6DqHg8Tn19PXq9XjSIPBJxuVzEYrEuy42xWIz6+voOQ5WhzVMq02lcUFAAQG5uLvF4PCtrcrvdHaQSGQ+sHJUaRb6BVLgVEDAZjd3up6KigqamJlQqFWazmcLCQqxWq+ghdSjJlsWN0Wg8qrwGpUBKolckEomDdkGXkOivJJNJ6urqyMvL6zdl7UwnmdFoPKAWdLfbTUtLC9XV1Uds12HG2kCr1XZ5Tna7Ha/XS3V1dQc7ApvNJpY099bqqNVqwuFwr9aVTqc7DW5fMGMIamXHkqhMJsPz6j2MGzeOv/3tb+Lrf/7znxk1ahQ/+clP8Hq9VFZWirMAc3NzxeDvUAdUzc3NWbMvyMvLIxLpbLraH5ECKQlaW1vFJ7KekM0/KgmJ/oLH46GxsZGamhp0Ot3+NzjMJJNJGhoayMnJoaqqar/6pnQ6TX19PSqVCuN+siWHk2g0Sn19PRaLpVM20OfzifYF7TPmoVCI+vp6KioqKCoq6nK/BoMBj8fTq7XZbLZOurPZY0w8MHckJr0aBAGDLMyjL7zB7h1f8fbbb/Poo4/y0Ucfcd1117F79262bNny/+y9eWAb9Z3+/4xOy7plSbYu2xCOhKQQQkqgu1DYbgINdAthfxQaWr4cpc1ul7ThhqVd+P4K5Ug5Ci3hKgV2CVcS2kChlKNlKSQNTSiBEqDBljS67/sazfcPdwY7lm3dGsmf11+JNB59xtbMvOd9PA8sFgsuu+wyyOVyiMXiKQFeX1/flIAqGAw2tOZqaVaTuMlkQigUasq+Og0JpAhIp9N1GYvmcjkoFI1ZNhAI3UK5XMbY2BgkEomgJ9YmEwgE4Pf7MTw8DK1WO+f2iUSCDwLquSa0i2g0img0itHR0Sn9mVwpkqIojIyMTOnB8Xq9yGQy016fiXqn0xKJBFQq1awBB5OKQKLUwWydaLg2m80488wzsXPnTgwODkIsFkMkEuFb3/oWdu7cCWBiArBS9okLqFQqFVwuV1cFJyqVijdY7mZIIEWo64LRSHM6gdBtRKNR0DSNkZGRurK37SaTycDpdEKj0VRdeqRpGqVSqSGz4Xbg8XhAUdQ0ZW2v14twOIyRkZEpQWMul4PT6YTBYKi6z8tiscDn89W1vmg0WlFGhlP9pmNZlNJRBHIUrnxiB7btppFOp/Hb3/4WS5YsmdI7tHXrVixZsoT/v9U64e1XCU5EValUdk1ApdfrEYvFOr2MhmlayzxFUWIAuwDQLMue3qz9ElpLMpmsqzyRSqW65qmcQKiXcrnMT3V1w/edZVnQNA25XF6VpAHwmaaS1WoVdL8jwzBwOp2wWq1T/Arj8ThisVhFnz/Ovqba3wWHWCwGwzBzb3gANE3PWA490NevnE9j7IlrsPYxEUYNffj617+OU089Fd/4xjewZ88eUBSF0dFRbNq0if8ZmUwGmUyGVCo143WbC6gymcwU/79m0IoAW6fTIRqNzlhq7QaaOXu4HsBfAQj/cY3Ak0gkam6WTSaTgk77EwjNIBaLIZFICD5Dw8Gt12azVa3zFAgEwLKsoGUNgIlrTiQSmSJtUCqVQNM0NBrNtPUXi0V4PJ6GhFHVajUSiUTVGchcLsdrP1XCE/ussVpmGgUllsB64T2gALz/49P49x577LFZP8dkMmFsbGzOB+D+/n7090/oY7lcLiiVyrqdK4CJLGcrWjnUajVcLldXB1JNKe1RFGUHcBqAB5uxP4KwicVipKxH6Fm4STAAXRFEcc3kFEVV1UzO/cz4+DhUKpXgRR6DwSByudyUYMnn8/EeegfegCORCILBIEZGRhpSl9dqtUgkElVvz/kqzgQnfwAAlFhS8fVqsdlscLlcVW2rVCrhcDggl8vhcrnqbqRvZdbIaDS2rVm+FTSrR+pOAFcCKDdpf4Q2kE6na9a+adVTCYEgBOLxOD8J1g0PC7U2kwMTN0Sfz9dwoNFquIBWoVDwvU3JZJLXtTowk85NG0ql0qZNG4pEIpTLc9/WgsHgnP1XleQPFFIxrjjl8JrXJZVKoVAoamrU5gIqmUwGl8uFaDRa8+e2CoVCgVwu1+ll1E3DgRRFUacDCLAs+84c211CUdQuiqJ2dXPk2UvUk1kKh8NE8oDQc7AsC6fTiXK5PG0STIhwzeRqtbrq0jx3jCKRSPD2HLlcDmNjY7Db7VCpVHyQVCwWK+paxeNx0DTd9GnDyfpNM8EwDHK53JxB6WT5AwqATafAzWs+N6PB71wYjUaEQqGah4VUKhUcDgckEglcLpdgmr2r+V0LlWb0SP0DgH+hKGo1gD4AGoqiHmdZ9rzJG7Esez+A+wFg+fLl9bseEppGrSWLZqnaEghCIpFIIBKJwOFwCNZDbjKcV1wtDdSpVArhcBgOh0PwQWI0GkU2m+X7oQKBAAqFQsUyK6fUrtFoWjIMMNM1MpfL4cQTT0Q+n0c2m8U555yDG2+8EWvXrsWuXbsglUpx7LHHYtOmTVN6ps442lZ34FSJ4eFhuFyumpvpgYneJLVajWQyCZfLBbVaPeuDdatL3BKJBAzDdKXlWMOrZVn2GpZl7SzLjgI4B8CrBwZRBOGRzWZrViueqweAQOg23G43isUiRkdHBR9ExWIxOJ1OWCyWmuxavF4v32Mk9BsUl5GwWq28eKZKpYLdbp92I0+lUnA6nbDb7S0tw+r1+ml9RXK5HK+++ip+//vf480338RLL72Et99+G2vXrsWHH36I9957D9lsFg8+2Nq2YbFYDKVSiXg8Xvc+1Go1H2C7XK4Z91WvrlYt2O32GeUdhIywzypCy4hEIjVNcDAMI/iLMIFQLalUile4btZoeKuop5kc+MxjzmAwCL4czzAMPv30UxgMBuh0OoyPj/PimZVKZh6PB/l8vi3BoVKpnGYZQ1EUlEolYrEYlEolisUiKIrC6tWrQVEUKIrCscceC7fb3dK1ARNK7NFotOFAZ3JWz+VyTWm0TyQSbZnUpigKEokExWKx5Z/VTJr6DWRZ9nWiIdWbeDweQdtFEAjVQtM0n6ERuvt8MBisuZkcmDBTjkQiGBkZmaK51ClisRj+9V//FQsXLsSiRYvw1ltv4emnn8bixYshEonwm9/8BqOjo0ilUnypqlLWLZvNwul0wmg0tjUAlslk08yMx8fHccYZZ8BsNmPlypVYsWIF/16xWMRjjz2GU089tS3rGx4ehtPpbMq+tFotHA4HXzZNJBJIJpNtE6JtRAy1U5AUwzwkn8/XdHHlnnSEPgZOIMwGVyoym82Cz9BwAYNKpapJ542zsenr65um/N1J1q9fj1NPPRUffvgh3n33XSxatAhLlizBgw8+iOOPPx46nQ4ulwsKhWJGyQm/38/rerW7V9NsNk+xZ0mn0+jv78eePXvgdruxc+dO7N27l3//3/7t33DiiSfihBNOaMv6RCIRNBpNUxvHuYCqXC7D7Xa31cqlGcbR7UTYj2OElhAOh2vKLnk8nq5xuCcQKuHxeCCVSgUvPAlMZMykUmnNDcTxeBzxeBwjIyOCeuiJx+P4wx/+gEceeQTAZ+rciUQCdrsd5XIZmUxmxuMtFArw+XwwmUwdlV55ca8Xv3j8I3hiWRjYBK4/50ScYZ5Q5j755JPx4osvYsmSJbjhhhsQDAanKJK3A71ej7GxMWi12qb+/XU6Hex2O0qlEq/y3+oyn9Fo5FXZuwGSkZqH1FpL78YpCgIBmJAJGBsbg9ForKlBuxPE43E4nU4MDg7CbDbX9LNut5u3QhFSEAUAn376KUwmEy644AIcffTRuOCCC/D++++jr68PkUgEcrl8xn7NUCiEUCiE4eHhjgZR23bTuO33XjhpL0rpKPzJPK78n7ewbTeNbDaLl19+GQsXLsSDDz6Il156CU888URHrpkjIyO8mGyz0ev1cDgcfECVSqVa8jkcnLJ8N0DujvOMQqFQk5+Wz+fD0NBQzZ/TjgkPAmE2vF4vkskkRkdHBS3bwTAMxsfHwbIshoeHa+rbymQyfNO8UC02SqUS/vznP2PdunV47bXXAACbNm2CQqGYMUPI/U76+voE0Zt520v7kGfFKBdzYMsMyrkUxh69CmtXn4DPf/7zWLlyJU4//XR85zvfgd/vx/HHH4+lS5fixhtvbOs6KYrivetaBRdQFQoFuFwupNPplnyOTqdraBqxnZDS3jwjGAzWVKYrFouCNjIlEA4kl8vxDwC1Sny0m2AwiHw+X1cmye/3g6IoQZYrt+2mcdtL++CJZWEUZ2EwWzA8PAy3242vfvWreOCBB2YsD0WjUaRSKUFl1zifPLFSD5FUDqiNsF5wNygAeyf55JVKpQ6t8DO4qUetVtuUrNhME94GgwEGgwHhcJjfplanjLngpCca8QhsByQjRZiRYDBYd1OuUC6AhPmFz+dDLBbD6OiooIMorplcqVRW1EiajWKxiPHxcWg0mppLgO1g224a12x5D3QsCxZAoCRHoizDz599BQsXLsSePXtwxBFHTPu5ycrrDodDUNcQzg9PJJVXfF1oNHOKL5fLzVpWHRgYgMPhQC6Xg8vlamqTuEqlalnGq5mQQGoeUSqVahIdnOsEIhCEQj6f5xtt6ylFtxOappFMJjE8PFxzM20kEkEgEMDIyIhgz83bXtqHbJEBAJRzKeTdH0D3pW/jJz/+v1i2bBn27NmDa6+9Flu3boXdbsdbb72F1atX44tf/CLsdntNMg/topk+ee2Aoig+W9Qo1bZpcAFVJpOBy+VCNptt+LMBwGQywe/3N2VfrYKU9uYRfr+/6n6DVjp9EwjNJBAIgGEYjI6Odnops8JN1Vmt1pr1q7hsjV6vF/wELVcGA4ByMY8+xxIAgOK8n+Avk8pgZ555Js4880zQNA2FQiHo8g1n68KVK606Ba445fCm2r00G41GA6fTCZ1O11bVfq6KEQwGEQqFYDQaGwr6+/r6EAgEwLKsoLKUkyGB1DyCU9ythlQq1RLvKgKhWRQKBXi9XphMJkGPSTMMA7fbDa1WW5cnWjKZ5L0Au2F61qpTgP57MCVRD0x5fTKZTAahUKiuwLITNNsnrx0MDw9jbGysIw8Z3JRsMBhEMBiE2Wyuu9xus9ng9XoFMXhQCeGflYSmUC6Xqw6i2mUHQCDUSygUQjAYnNFCRCgEg0F4vV4MDw/X5Qfn8XhQKBS6wiePo5oymM/nQzqdrnlKkVA7AwMDCIVCdf1sM6avTSYThoeHkUgk4HK5kM/na96HWCxGuVxGuVxueD2tgHyD5wk+n69qpeN4PE6yUQRBUiqVQNM0BgYGBK1Ons1m+WGNevSrcrkc/H4/LBaLoKUbKjFbGSyfz/Pm50KwrpkPqNVqxOPxuiawQ6FQ0/TXuMEIv9+PQqEAs9lc03fAZrPB7XYL8t5EAql5QrX15UwmI+gnfML8JRwOI5vNCnLcfzIejwcSiaSuMh4wkcViGEbwxzkblcpg3HHV+3sh1I/dbq+rxFcoFJoeyA8ODgL4LKAaHBys6jMoioJUKm3JmhqlO3LFhIaopUkvHA631QyUQJgLhmEwNjYGmUwGu93e6eXMSCKRgNPphMlkqkuWgDvO/v5+wU8e1kKpVOKlHnrpuLoNk8k0xS+w0wwODsLhcCASicDlcqFYLM75M0NDQzNO8N1xxx1YvHgxlixZgnPPPRe5XA4nnHACli5diqVLl8JqteKMM85o9mEAIBmpeYHX663qApbP5wUX6RPmN5FIBOl0WnD+cZMpl8twuVzQaDR1Z1tisRiSyaSgj7MeIpHIrD56hPahVCoRj8cFl9Hh7k1erxelUglDQ0OzliAVCgXS6fQU8U+apnH33Xfjgw8+gEKhwNlnn43NmzfjjTfe4Lc566yz8NWvfrUlx0AyUvMAlmWralQNBAJ82pVA6CTlchljY2OQSCSCE2ecTCgUgsfjwfDwcN1yIS6XCwAEfZy1wrIsxsfHIZFIBJ1FnG9YrVZ4PJ6qt2/n99FiscDhcCAUCsHlcs2oEm80GhGJRKa9XiqVkM1mUSqVkMlkpkz4JRIJvPrqqyQjRaiPast6DMN0zVQQobeJRqOCz87kcjkEAoGGmt4zmQxv2dRLk2vxeByxWExQFi+EzzCbzXzD/2zUMundTLihKI/Hg1KpVFEeQ6PRIB6P8+KtNpsNl19+OW9uvWrVKqxatYrfftu2bfjSl74EjUbTkjWTO2eP4/P5qsoyeTwewWp0EOYHXBaDoihB34Q9Hg/i8TiGh4fr9hbz+XxIpVIYGRnpqSDK7XajXC4LOgie7/T396NcLiOXy826nd/v76gFkdVqhcPhgN/vh9PpBMMw/HtarRaJRIL/fzQaxXPPPYdPP/0UHo8H6XQajz/+OP/+E088gXPPPbdla+2dM5hQkXK5PKeqLacVQi58hE7RDVmMRCKBaDQKq9Vat5E3JyJqNpsFa/FSD+l0GqFQCHa7va0q2oT6sFgsc07xVXPvaDUURcFms4FlWXg8HjAMA7vdDpFIBIPBgEdf24tNOwL4+O2XQSXleNNdwBkmKdasWYM//vGPOO+88xAKhbBz505s3bq1ZeskgVQPU62YGk3TgredIPQmLMvC5XJBrVYLdtx/cjN5I2uMRCJdId9QK16vF1KptOeOq9cZHByEz+friknKyQEVTdMol8vYFaRw49bdKPUbINaYEP7fD3DVk38Cy7J45ZVXsHz5cgDAM888g9NPP72lJuaktNfDBAKBqlKz1TajEwjNhJMLsNvtgvV1DIVCoGm6oWbyyY3XvfTAksvl4HQ6BS+OSqiMQqEARVEzmgsLMTNMURTsdjscDgdueuaPyOZzKKUikFsPR//h/4D9D/wH1q4+AeVyGZdccgkAYPPmzS0t6wEkI9XTMAwzZwmiWmkEAqFZsCwLt9sNpVIp2CxGM5rJgc988oRcsqwHzkSWyBp0N4ODgzOW+JphD9MqKIpCmFVBolOinIkBAHQnrIXuhLWgADw2yRz79ddfb/l6SCDVw1RzIpRKpbr7PQiEWuECCyH30ng8HojF4oaDBI/HA7lcLthgsR6KxSJvFN1LPV7zGYvFMm3YqFgsCn4IgjPHFiv1015vN6Se06MEg8E5PZKq2aZehPw0Q+gMbrebN+AVYhA1WZm8ET21XC6H8fFxGI3GnnIJCIfDCAaD/Ig5oTeQy+WQSCTIZDL8a9W2hXSSasyx2wUJpHqUatRrc7lcSxvwCARgYqJrfHwcQ0NDggwsyuUyxsfHeR+4RjK0wWAQsVgMIyMjglKPbgROHFUmkxGJlB7FbDZPs48Rein6jKNtuHnN52DTKUABsOkUuHnN56Z5PLYDYefuCC0jGo22tMFX6CchoT3QNA2ZTCbY8lY4HOYtTBr5zjIMA5fLBZPJVLe2lBCJxWJIJBJEF2oeYLVa+QnubvlbVzLH7gQkkOpBQqHQnE/+6XSaWDcQWgan2m2xWASZmcnn8/D7/TAYDA1nyTgl9tk0eboNTpaiEf9AQnchk8kgk8mQSqVIa0aNkECqx2AYBieddBJGR0exffv2itskEgmo1eo2r4wwX/B6vRCLxYLNQnm9Xl49vRF6NdhIJpOIRqO88CFh/mAymTA2NkYGkGqEBFI9xl133YVDDz0UxWJxxm3i8TgcDkcbV0WYD2SzWfj9flgsFsjl8k4vZxpcgDA0NNRwlqxXlby5ScNeCgwJtWE0GvHJJ5/0lOZZqyGPGz2E2+3Gtm3b8K1vfWvGbTKZDPr7+9u4KsJ8wOfzIZFIYHR0VHBBFNdMXiwWMTw83HAQ5fP5kMlkBDt9WA+ZTAbj4+MwmUyCHAggtA/uQTuZTHZ6KV0DyUj1EN/73vdwzTXXzDqaHA6HSTaK0DTy+TxvjC3ECdBmNZMDn/nkCfVY68Xv94OiKMGWYgntZ2BgAGNjY1CpVF3TeN5JSEaqR9i+fTvMZjOOPPLIGbfJ5/OCbPwldCeBQADRaBQjIyOCCyzy+TzGx8chl8vhcDgavhmEw2GEQiFBHmu9cL8jrVYreM0gQvtxOBxwuVydXkZXQDJSXcy23TRue2kfPLEsim//DzIfvIrnn38e+XweiUQC5513Hh5//HF++0AgQLJRhIbhMjMmk0mQZWKumbwZGZZyucz7yfVSySsYDKJYLJIsFGFGxGIxVCoV4vE4tFptp5cjaEgg1aVs203jmi3vIVtkAACS49bCcNRq3P5/ToYu/jFuv/32KUEUwzA9089B6BxCvgE3s5kcmJhu5cQ1e6W8wTAM3G43BgYGWuZqQOgdDAYDxsbGoNFoeuYcaAWktNel3PbSPj6I4siVGNz20r6K23s8HlgslnYsjdCDFItFjI+Po7+/X3Dq1izLwul0Nq2ZHJgQEi2VSj1lNhyNRuHxeDAyMgKVStXp5RAESCqVmvbdGB4eJiW+OSAZqS7FE8vy/y6EnJCojRDJ+uGJZXHSSafhpJNO4t/nxNV65YZAaC+hUAj5fF6QWahwOIx0Ot2UPihgQsIhEAjAarX2jJYOF2jqdDpS2ifMSjwenyZ7IBKJoNFoEIvFoNPpOrQyYUMyUl3KZIdrkUyBYsQNkby/ovM1J/tPINRCqVTC+Pg4+vr6BPf9KRQKcDqdvOZRM4KoQCDA26H0ShCVSCTgcrkwPDxM+lwIdaPT6RCLxYji+QyQQKpLmeJ8TYkASoQ+EVvR+ZplWaJQTKiJSCQCn88nyDKQz+dDOBzG8PBwU9bGBYwqlQqDg4NNWKEwoGmaN2Im2WhCo4yMjGB8fLzTyxAk5O7apUx2vkYxh+HRg3DZP5qnGTh6vV4MDQ11aJWEbqNcLmNsbAwSiURwXoypVApOpxN6vb5p/X7RaJQPGIU4gVgP6XQa4+PjGBwcbKkxOWF+QVEU9Ho9otFoxfddLhdOPvlkHHHEEVi8eDHuuusuAMDTTz+NxYsXQyQSYdeuXe1cctsgPVJdDOd8vWePAYsXL0YymUQymZzio1cqldpepnC5XDjnnHMQjUZBURQuueQSrF+/HgDw05/+FPfeey/EYjFOO+003HrrrW1dG2FmotEoUqmU4KbUOE87pVLZNOsSbp9arVZwAWMj+Hw+QfscEoTNXOe9VquF0+mEVqudVuWQSCTYuHEjli1bhmQyiWOOOQYrV67EkiVLsGXLFnz7299u5dI7CgmkegCj0YhQKASLxQKn08kHUsFgsCMjzhKJBD/4wQ9wyimnTDmh/H4/nnvuObz77ruQy+UIBAJtXxthOuVyGS6XS5DNyJFIBKlUqmnN5MBEZisUCmF4eLhnSt65XA5+vx9DQ0OCs+ghdAexWKyqPjqHw4Hx8XGMjo5Oed1isfCZYrVajUWLFoGmaaxcubIVyxUUJJDqcjKZDJRKJbLZiSm+gYEBhEIhGI1G5HK5jgRSk8suk0+oBx54AFdffTV/oSdqyp0nFoshkUgIro+GE/00GAxNNdD1er2QSCTTbgLdTCAQQLlcJlkoQkOk0+mqhkooioLBYEA4HJ5RpHZsbAy7d+/GihUrmr1MQdIbj2PzmFgsNqUPQqlUIpPJIBKJCKI/YvIJ9dFHH+GNN97AihUr8MUvfhF/+tOfOr28eQs3Eg9AcEEU10w+MjIypUzdCJwdisFg6BkhSk7bS6VSkT5IQlvRaDTIZDIolUrT3kulUjjrrLNw5513QqPRdGB17YdkpLqcSuOoVqsV77zzTsefBg48oUqlEiKRCN5++2386U9/wtlnn439+/cL6iY+H4jH44jFYnA4HIIqbaVSKUQiEQwODja1PBUKhQSrxl4vkUgE2Wy2p46J0F04HA7c//zb+OV7GXhiWVh1Cnz/nw7GA9d/G2vXrsWaNWs6vcS2QQKpLiaXy1U0UM1kMtBqtSgWi21rNJ/s+2fVKXD+kUo8e9cPppxQdrsda9asAUVROPbYYyESiRAKhXomQyB0uAZrtVotqBtwK5rJgc988oxGI4xGY9P220m4fjaDwQCDwdDp5RDmMdt207j99x5kczmI+7VwRzO46OKLceKSUWzYsKHTy2srwnkcJdTMTDXqRCKBhQsXwufztWUdnO8fHcuCBeCOZnD5ZZdDNuCYckKdccYZeO211wAAH330EQqFQs/c4IROMpmE0+mEzWYTRMmXvMqDugAAIABJREFUIxKJwOVywW63N9UUOB6Pw+12C1IHq164YxoeHm5ayZNAACpXNubitpf2Ic+KwGTiAIA8/QES772CV197FUuXLsXSpUvxwgsvYOvWrbDb7Xjrrbdw2mmn4ZRTTmn28jsOyUj1GJlMhtfDUSqVFb2Tms2Bvn95+gMkP/xfvBqjsXTpUgDATTfdhAsvvBAXXnghlixZAplMhl/+8pekrNcG3G43FAqFoLJQhUIBPp8Per2+qVkoYOJ4m53d6iQsy8LtdkOtVvfMMRGExWyN4wfCMAx8Ph+cLhcglkJmnPhO9tkXY+Sq7aAA7PnxaVN+5swzz2z2kgUFCaS6lEKhUNGcNRwO8yPsBoMBTqezpYEUy7JwummwbBlgAVCARDuEofPvhESpxwvX/TO/bSaTwWOPPUaCpzaRSqUQDodhs9kgkQjnVPf5fGBZtulBQSaTQTAYFNzxNgL3N7Tb7RCLxZ1eDqFHyefzs1YHWJaFz+dDuVyGWCyG1WrFsMMBepLnK0clm7JepzeuNvMQ7obBQVEUcrnctCbdyXIIzYBlWfj9fn5ag6IoOKxD8CQKUzekKAzbbbBarfxL6XQaXq931v3L5XIYDAYSbDUITdOQy+WCykK1qpkcAPx+PwAI6ngbxePxCO5vSOhNZrreBoNBFItFAMDQ0NCU4ZQrTjkc12x5b0o1QiEVV7Qp63VIINUjDAwM4P3338fRRx895XWlUolwONzQvoPBIPL5PICJE85sNk9pYr/yy5h+Qkmmn1BKpRJKpXLWz8pms3MGWzKZDAMDAyTYqkA6nUYoFILVahWM8W6rmsmBCQkAj8cDs9kMhaI3noSz2SwCgQAsFkvFrDOB0Gwm90hxE6EAYDKZZvwOcnZkk4eMrjjl8Gk2ZfMBEkh1IcVicVrpQiQSgWGYittbrVbQNF2V2Bow9URiWRYmk2nWDEKlE+qiZZa6TiiFQjHnDTGfz88ZbEkkEhiNRkGN97caj8cDqVQqqAwGp0xut9ub/rfoRQmAXsysEYRPPB7n/13LRChnUzbfIYFUFxIIBKYFRV6vd0YjV4lEAoqiZpRDiMViSKfT/P/1en3No9UHnlBzBTqNIJfLp5QMK1EsFuH3+2edRhGLxTAajV3feyLEDEaxWITX64VOp2t6ForLcOl0uqofDoQOp+TeS5k1grBJp9OIxWJgWRZisbhnzqVOQAKpHoBlWVAUNWupy2q1wul0Ynh4GIlEAolEgt9eq9X23EkklUpnDCw5SqUSQqHQjJk8YCLTZzQaBdu87PP5IBKJBJXB4JpSWzFhlkwmEYlEBCcm2gihUAiFQkFQf0NCb5LP5xEKhQBMtFrYbDb4/X4sWLCgwyvrboR5dyDMCMMw0zIoNE3DarXOqBvFPXnEYjFkMhlYrdaecryvF4lEgsHBwVm3YRgG4XC4ohXCZIxGY1uzQblcDj6fD0NDQxVFWTsB1581ODjYkjV5vV7BlS4bgWEYuFyunhIMJQiPUqnEl4zlcvm0h2aGYQT7oNgtkN9el+H3+6dlWliWnfJ0ns1mEYlE+P/39/fDZrPBZrPB6XTOG/+jZiAWi+c0Vy6XywiHw/x0y0wYDIamBBiBQAAsywrGeJfTOWqVVhUXNFqtVsGULhslFoshmUxiZGSEDE0Qmg7LsvB6vXzZzmq1zvg9q0eMkzAVEkh1GVwZj8Pr9WJgYAA0TcPj8YBlWfT19c1Yqmu2HEIl9u3bhzVr1vD9WPv378eNN96IcDiM5557DiKRCGazGY888sicvU7dgEgkmtPmhmVZRCKRKQFupW30ej0vqHog+XwePp9PUH000WgUyWSyJc3kwMTEaKlUEkzQ2Chc0KnRaHi9NwKhWXDSNBRFTZMrILQOqhPR6PLly9ldu3a1/XO7nXK5zN9IuVSty+XCwQcfDLPZDI/HU1VgwvVKtRKu+Z1hGNhsNuzYsQN6vZ7Pht1999344IMPcN9997V0Hd0Ey7KIxWL8xORkAoEAGIaBxWKBRqPpuO3J5GbyVmQ4ubKXyWSaUzKjW+jF/i5C5wmHw8jlcgAwTZqmGmqZ6J7PUBT1Dsuyyyu9RzJSXUC5XIbX64XH44HFYuF1goLBIJYuXcqXi1iWnZaxqkStcgiN8Morr2DBggXTSj7pdJqUNA6Aoijo9fopXnjcNNdhhx3GZ6ri8Tg8Hs+s+1KpVC0r4fr9fjAM07JgPB6PI5FI9FTZi6Zpwdn0ELqXeDzOT1obDIa6fSor9dwSaocEUjPw4osvYv369WAYBhdffDGuvvrqtn32ZDl+YKJ0xGWaJgc/+Xx+Ss+NVqtFIpGAVquddf+cHEKpVGp5k+HmzZtx7rnn8v+/7rrr8Oijj0Kr1fIGxoTKzDTNpdVq5/wbJ5PJOYMthUIBnU5XdbCSTqcRDodhNptb1uDO+eT1Stkrk8nwciVCEUgldCepVIrXe9JqtU1pi/D7/RgaGmp4P/MdUtqrAMMwOOyww/Dyyy/DbrfjqKOOglqtRiqVAkVRuOSSS7B+/Xr813/9Fx544AG+P+amm27C6tWra/68SrYrQ0NDU54UuOZB7uSJRCKQy+XTyh7VlveA1pb4uN4tq9WK999/f9p03M0334xcLocbbrihJZ/fzZRKJdA0jYGBgZaW8DKZDGKx2KzbcJY9XDN5q3rretEnj5OmmGtYgUCYiVwuxztTKJVK6HS6pu6flPWqh5T2amTnzp045JBDcPDBBwMAzjjjDCSTSdxzzz1IJpM45phjsHLlSgDA97//fVx++eU1f0YwGESh8Jk/3Vy1bW7UnSOTydQsmnkgSqUSqVSqKTfrbbvpA5TNdRjI7sSyZcsqSgysXbsWq1evJoHUAYTD4bapdff398/Y2M7h9XqxY8cO2O12FAqFilkuqVSKgYGBuvt+/H4/KIrqmbIXNxTQKhkIQm9TLBYRCAQAYNbBIYJwIIFUBWianlJaOOKII7Bjxw4AgFqtxqJFi0DTdE37nNwQCEzoDtVi3DpZ4iCRSECtVtf0+ZUYGBiA0+lsOJDatpue4rVHx7K4+QUfhv76JC6cVNb7+OOPceihhwIAnnvuOSxcuLChz+0luObqgYGBuvsdmgnnYafT6XDcccfNum2hUJhTRb6SZU+xWARN0xgcHBTMFGKjcFOGvRIUEtoD1wcLTJwrJHjqLkggVSNjY2PYvXs3VqxYgTfffBP33HMPHn30USxfvhwbN27kG4UPtF1ppCGQayLnSCQSTRPUHBgYQDgcbujmfdtL+5AtMlMa3dPZDN5+4zVsf+pRfrurr74a+/bt45W4ycTeBJFIBOl0WjDN1VyZudpgQCaTzakif6BlD+eTZ7PZEI1GEY1GeRmJbmx+5cqxRqOxZ6YMCa2Fa+lgGIbvg233+S+E600v0HAgRVGUA8CjAAYBsADuZ1n2rkb3224ml6bUcS/E73/Cv+d2u2Gz2ZBKpXDWWWfhzjvvhEajwbp163D99deDoihceeWVWLduHTZu3AgATfUB8/v9fHksnU7PWY6pBaVS2XAg5YllUQiOgxJLIDVMHLNIKof90iemNEU/++yzDa+3lyiXy3C5XNDr9YJorub6lFqhU8VZ9rAsy/fmHThVWI1lD0VRMBqNgmrcjkQiyGQyJAtFqIpQKIR8Pg8AGBwc7FhPYKFQENR51M004y9YAnAZy7J/pihKDeAdiqJeZln2gybsuy0cWJqKq0fg/XAfvrvpN3gnKMI7d9+PI865Bk+tPB3fWLsWa9asQSqVQqlU4m1Zzj//fJx77rktSclOlvDndGiaSSNyCJFIBKrYJyipBiFWTC03WnW9Ua5pBdFoFKlUCsPDwx1/KmRZFjRNQy6XtzQYSCaTiEajMx5zNZY95XIZoVBoVsseiqIwMDDQchV0LijU6/XEcokwK9FoFJlMBgAEYwkUDAZ7QhBZCDQcSLEs6wXg/fu/kxRF/RWADUDXBFJcaQoAWKYESiyB/p+/jU3XXAywZSiX/DM+/t3/QCrvg3bxiaBpGkqlEiKRiC9pPPXUU1iyZElL15nP52vqq6oWLkirRQ4hk8lgbGwMLMvixkvOwrVb9/K/QwBQSMS44pTDm77Wboe7+Wq1WkFkoWKxGBKJBGw2W0tLajRNo6+vr+Ep0Wqm4Nph2ROPxxGPxwURCBOESTKZRCKRADBRoZisDycUyHe3OTQ1p0hR1CiAowHsaOZ+W40n9pmSNJOJQaI2QrHg87At+DxKyRDy3o8Q/9/HITWN4tILzsGhZhVuuukmPPHEE9izZw8oisLo6Cg2bdrU9LUFAgH+xhEIBFp28+V8+Oa60ZXLZbjdbsRiMdjtdhgMBizGxAk5dWpvCGccTRomJxOPxxGLxQRx8+V6enQ6XUtV7nO5HO8P2S6fvGZZ9gATN8ADS+mc1lWr3QEI3cdkn1O1Wk2axucJTQukKIpSAXgWwPdYlk1UeP8SAJcAENwFyKpTgOaCKUoEtsyAEk08nYtk/egbPhIjV22feBvAnh+fBgB1aUbVSrFYhFQqRalUqipjIJfLkcvl6nrSnksOwefzIZlMQiaTYdGiRVPq62ccbZsSOM0lBjmfYFkWLpcLarVaEH00gUAAxWKx5WsJBoNgGEYQx3wgXPlvNjjLHk5rK51OIxQKwWazIZvNIpvNgmVZaLXajlv2EDpHoVBAMBgEMCFyS4Kn+UdTAimKoqSYCKL+m2XZLZW2YVn2fgD3AxOCnM343GZxxSmH8z1SYqUeTCoMqdoIFoBI3o9SIgj0TVwoO9X34/V6q8pGGQyGKcKdtTCTHALnVE9RFDQazZx9LABJGXMkEglEo1FB+KtlMhmEQiGYTKaWyg30ik/eZMsezleQk++YTCKRmPPBQalUzqlGT+geJssVSKVSEjzNc5oxtUcBeAjAX1mW/UnjS2o/XCaFK02ZNH04dcUwnn2Hngiu+nVgUlGo9Ma29v2EQiEYjcaq/PM4Gg1gDAYDP8WXy+UQCASgUqlQLpdbMs3Vy7hcLiiVyo5nZCY3k7c6G8w10Y+Ojrb0c9oFV5ocGhqasT9Ro9HM6WvYCsseQnuZbN3VKbmCZpHJZMi1vIk0IyP1DwC+AeA9iqL2/P21a1mWfaEJ+24bk0tT3ATb8hHD34MrwKQS47ozl7S17yefz8NoNPLyC+1ApVIhHA4jk8lALpdDpVLNqrR94YUXYvv27TCbzdi7dy8A4IorrsDWrVvR39+PBQsW4Be/+EXTrQ2ETDKZRCQSgd1u77gmUiwWQzweb/laWJaF2+2GWq0WRBN9MwgEAiiXy00JhNVq9ZwiuplMhs9yzARn2dOtN/BuhCuFUxSFwcHBjp/TzSAajZIsWhMhXnsVyOVySKVSU0ZUuT6XdvZ3cQGdy+Wq6eZUi9/egQQCAWQyGUgkEjAMA4PBMOsN4A9/+ANUKhW++c1v8oHUb3/7WyxatAgOhwNXXXUVAOCWW26paz3dBudJ12l1cq6ZXKvVtjyI5XqHhBA4NgNOcd1sNjdVs60Z5HK5ORvkG7XsIXwmGAsAJpOpbYMS7YJ47NUO8dqrkb6+Pt4okoOiKMhkspZJEBxIJBLh+53mUo1uBolEArFYDGazGX19fXj//fexfPnyOQXbTjzxRIyNjU15bdWqVfyT9XHHHYdnnnmmVcsWDJMbkTttuhsIBFAoFNpSUvT5fBCLxR0vXzYLzspJqKXJvr6+OR+SqrHsEYvFMBqNPRH4NotEIoFkMgkA0Ov1DXuZEuYPJJCqgaGhoaokAppBLpeDwWBAKBRq6Y05n8/D7/dDo9FgeHgYNE1DoVDg+OOPb8qxPvzww/ja177WpNUKE4/HA5lM1vFgglMmN5lMLc+kFAoFeL3enjHm5VTmG7FyEgrVWvYEg0GUy+UZt+lmy55qSafT/FQmkSsg1AsJpGZAoVAgk8lMuyGp1WokEok5m0sbhWVZBAKBOfVwGtk/TdOQSqUYHh5GNpuF0+mExWLhs1D9/f1Ip9N1T1796Ec/gkQiwdq1a5u5dMHABS7t1EiaCe5v2Y5gLhwOI5/PdzxwbBbcVKoQ9L3ahVQqxdDQ0KzbdKtlz1zk83mEQiEAE9c4EjwRGoUEUjNgMBhA0/S0QEqv18PpdLY0kIpGo9DpdIhEIi152g+FQrxhrEgkgt/vB0VR07JPRqMRTqdzWiA12ZfQqlPg/M9Nz348+eST2L59O1555ZWevDl5vV5BlLQ4hW2r1drykiKnyt4LWRvgs75HjUbTMw3yzaRZlj3AhLRKO1oiZoJhGHi9Xr5FYz4HT4lEYs7BB0JtkECqDgYGBvgSSivIZDJgWbbuGr1YLK5o95JMJhGLxTAwMACj0YhisQiXyzWrrMFkOQRgui8hHcvilhddKOY+u5C++OKL+NnPfoY333xTcM26jZLNZhEIBGYdh28HDMPA7XZDq9W2pdTM9dD1StaGm6wUgr5XN1ONZQ/LsgiHw9P6Tg+kEcuemT7X6/WCZVmIxWLYbLae+O42SjKZnNeBZCsggdQcVNJwUiqVc14UGiWTydQdSBmNRoRCIf5pslgswufzQaVS8U/eXFPtXBkVlUqFSCTCB1KcLyFbKoKSSBH81a3IO99DOZuA3W7HDTfcgJtvvhmZTAYrV64EMNFwft9999V1LELC5/OBoqiOZ6GCwWDbmsmBzyYRheZIUC+c71+n/47zBa78NxvVWPawLAu9Xj/nw9lkuYKhoSESKBNaDgmkZsFiscyoEm61WlsyQhqPx0FRVEOWE2KxmO9r8Hg8oCiKD6Dqaaq1WCz8sXK+hIXgp5BbDoPpX64EMGGd8+nfrXMuuuiitk0btoN8Pg+fz9fxxupsNotgMAij0diybOiBnxcIBGC1WruqB2YmuOMRQk8bYSrVWvZwfpUHwj0YAsAhhxwyZ5aMQGgmJJCaBZFINOMIMVc2q1RCa4R0Oo1yudywnUQ4HAbDMLBYLPz6EolEXY713E20VCrBqlPAHc1gInT6jE5Z57SaZooyNsLkwYB2EAgEwLJsx4+7Wfj9fgDomeOZj1AUBZ1Ox+uixeNxpFIpABPBE9eeUK1lj0ajmZelPo/Hg/POO4/vjb3kkkuwfv16fO1rX8O+ffsATAxg6HQ67NmzZ469EQASSDWEzWZruhxCOp1uqJE3nU7zTeqTG2jdbjf6+/vrbqrljvWKUw7H5b98HYxKz7+nkIrbap3TDrjx/nZICcwG9wTeLn0qTsiz08fdLLi/I7E36g1SqRTi8TgAQKvVVqwIVGPZk0ql5lSR71XLHrFYjI0bN2LZsmVIJpM45phjsHLlSjz55JP8NpdddhnxhqwBEkjNgU6nQzQahV6vr/h+f39/RZmEekgmkygWi3X1RjEMA4/HwwdL3BMZN6LfjBtxf38/Vg4ocM2XD8d9v9+PUHkiE3XFKYe31Tqn1QSDQRSLxY5mLyY3k7drHZxPXq9kbUKhUFt7yQitIZfL8T2pSqWyKe0UKpVqzvaJbDbbc5Y9kUgECxcu5O9XarUaixYtAk3TOOKIIwBMlFCfeuopvPrqq51caldBAqk5UCqViMViMwZSRqMRLperKYEU1/9SK16vF+VyeVq2ye/3QyQSNe1GYjQasXfvXvx/xx+GL3/OWrcNjVApFovweDwwGo11a2c1g2AwiFwu17YJOU4GQKvV9oQMAMMwcDqdMJlMdZ1PhM5TKpX44Q65XN6RKTOFQjFnFjOXy80ZbAnJsiebzU55UB8bG8Pu3buxYsUK/rU33ngDg4ODOPTQQzuxxK6EBFJNQKvVzpq1qpZgMIiDDz646u2j0SiSyeQUEU1gopwxPj6Oo48+uunN0VKpFMVisan7FAKhUKjjIpNcM7TJZGpLMzkwUeIIh8M9IwPAnROjo6NdkyUgTFAul+Hz+bpKrqBayx6u13ImOmHZk0qlcNZZZ+HOO++cUgp94okncO6557ZtHb0ACaSqYC6PPY1GA5fL1VAgFY/Hqxb5zGazCIVC0Ol00/qzJqtONzuIKpfLUKvVSKfTHfeTaxZcTxCnrdUpaJqGRCJpayDn9Xrb/pmtghMLrXROEIQLy7Lw+/1gGAYURcFisQg+eKoVmUw2p4p8tZY9RqOxrmsvJ6LsdLkw7HDg+/90MB64/ttYu3Yt1qxZw29XKpWwZcsWvPPOOzV/xnymN+6GLcZkMs0pdWA2m+H3++dUAp6JDz/8cEp6tRLlcpnX9DmwBHOgrIHH46mogdUIPp8PFosFpVIJf/nLX2Z9EpvNMFUoRCIRZDKZjgYS7VQm58jn87w8RSdFRZtFIpFANBrtmazafIDLAAPA4OBgzzyY1Us1lj0Mw9Rl2TNZRJkF4I5mcNHFF+PEJaPYsGHDlJ//3e9+h4ULF8Jutzd0PPON+f3tbSJyuRz5fL6u4KWan/H7/SgWi3A4HNO25W7Gk3tqDAbDFCHNZsCtUyqVgmGYpks/tItyucxbnXTqgtFuZXKOUCiEYrGI0dHRtn1mK+GmUXshq9brxGIxpNNpAOh4BrgbEYvFdVn2/OjpN5GMT2hsUSIJ8vQHSLz3Cl4NHoSlS5cCAG666SasXr0amzdvJmW9Oui+u2AHmSvgcTgccLvdNTfsfvLJJzjkkEMqvhePx5FIJGA2mytmD9xuN5RK5bSbcV9f36wqwbVyYOnRbrfD4/HMGAQINT0/eTKtU2vkvA7babfCZSx75QaWTqcRCoXaJgtBqI/JcgU6nY5Yk7SYSpY9obISEvVnwzNipQ4jV20HBWDP30WUOR555JE2rLL3IFegKhkcHITf7581/cpla2brp6pEJBKZNiGRy+UQDAZnNFRt940klUpNuwj29/cjnU53dMKtWrhAQqfTdWwyLZfLIRAItD2YqZSx7GZ6qberF8lms4hGo2BZFiqVigRPHcaqU4D+uyPFga8TmgMJpKpEIpHMWpvmGBoaqkmk80ArFZZl4Xa7IZfLZ7zh+3w+iMXitt1IyuVyxRuw0WiE0+kUfCAVi8WQSCQ6Gkh4PB6IxeK2N0LPlLHsRnK5HP8w0wu9Xb1EsVhEIBAAUN0kG6F9XHHK4VOM5oHeFFHuJCSQagFqtRqJRKKqKbx0Os1bHgQCAeTzedjt9oo3fE6lud2eb1yTeSX0ej0ikUjdBsuthNNH0mg0HQskEokEYrHYNImKVsNJKfRK6SsYDKJUKpEslIAol8u8hpJUKiWZJ4HCiSXf9tI+eGLZnhRR7jTdf4VtI9UGSHq9Hk6nc87tAoEARCIRZDIZXC4XjEbjjGabnVRpnq03TK1W843bQoKzVunUJBfX0N7uZnIAvIdWLwQdpVIJbrcbJpNJ8JnP+QDLsvD5fCiXyxCJRLBarT1RLu51zjjaRgKnFkJmhWtAo9EgmUxWte3AwABCodCs2ySTSV47xOFwTFPRveuuu7BkyRIcdthheOihhzqSLq9G38piscxpEtouOD0hzmi4E0FUKBQCTdMYGRlpWKS1ForFIsbGxqBWq2cMyLuJSCQCn8+H0dFREkR1mGAwCJqm4fF4YDabYbPZelLziUCoB5KRajJ33HEHHnzwQVAUhQULFuDJJ5+cVoZjWRbvvfce5HI5DjroIL60N5m9e/di06ZN2LZtGw466CB8+ctfxllnnTXjdF+rqNRkfiBSqRTlchkMw7RVmfdAkskkIpEI7HZ7R9bB9fAYjca2T8Zxmli9IGvADQbo9XqiZ9NBotEoMpkMgIl+SNKXRiBUhmSkakQsFk/R6JgMTdO4++67sWvXLuzduxcymQw///nPp2wTCoV4/SCVSjVj5uCNN97AsmXLcNhhh0EqleKLX/witmzZ0vTjmQ0ufV8NNpsNbre74nu5XA7HHnssjjrqKCxevBg//OEPm7lMABNN1VzpsxNBFE3TiMViGBkZaWv2hGVZjI+PQywW90TQEY/H4Xa7MTw8XLXSP6F5JBIJ0DQNmqZ5jzubzUaCKAJhFkhGqkYGBwfh8XhmzNKUSiVks1lIpVJks1kMDg6CYRh+JHhgYABSqRQURVUsE6bTaQSDQZxwwgm44447EA6HoVAo8MILL2D58uU1rVWpVCKVSs3pcj4TszWZHwhFUVAqlRXlEORyOV599VWoVCoUi0X84z/+I7785S/juOOOq2tdk+G84jrVVN2pZnKgt3zyuGlVlUrVExOG3UQmk0E0GgUw0fNImsYJhNoggVSNzNYTYLPZcPnll2N4eBgKhQKrVq3C2WefjR07dmDhwoW8nIHb7cbQ0BCfNufgZA248sxVV12FVatWQalUYunSpTVnWjQaDbxeb92BVK0q7TPJIVAUxa+hWCyiWCw2pbeCe2ruRFM1Z9ejVqs7cuP3er2QSqU90VCeSqUQCoXgcDg6WhqeTxQKBQSDQQATenAkeCIQ6ocEUk1k7dq1ePrpp7FgwQL85S9/wVe+8hXcd999SCaTuOCCCyCRSLBq1Spcf/31CAQCfLYnn8/D5/Nhh7eEu14fnzSieireeeciAMC1115bc+mmkWAlFotBq9XW/HOcHMKBMAyDY445Bp988gn+/d//fU5fwdngxEitVmvbs0DAZ8rklex6Wk2v+eR5PB7IZLKe6O0SOgzDwOfzASByBQRCMyGBVB0YjUYEg0GYTCYAwJe+eg7+8MpLKJdZaA9ZjmQ2CJ/Ph6997WvYtm0b0uk0nn/+eRxyyCHYs2cPDAYDPB4PKIrivc92RyT44fN/5UXT6FgWVzz2BoATsGyAwZYtW/D222+37RjT6XRdF1pODuHAAEcsFmPPnj2IxWI488wzsXfvXixZsqTm/Xs8no5lYvL5PPx+f8dsVjgtpV4IOjidK4vFAplM1unl9Cwsy8Lr9YJlWSJXQCC0CBJI1YFcLkehUAAw4az9ifYYGP/1eAS33oQE/TekpTLsClJ4/fXX4XQ6cdttt8FsNsPn88Fms6FcLoNlWYyNjSGXy2HdunXY8cF+lBhAtfTVpo28AAAgAElEQVQUaJZ/FQDgevr/4uv/ncKhQzrce++9Faf7WgHDMA313FgsFtz91O+wxfXXaQJwOp0OJ598Ml588cWaAqlO33i9Xi8oiupIGa9cLmN8fBwmk6nuMq2Q8Pv9ANATZUmhEggE+BL60NBQ1/fQEQhChgRSDXLbS/uAocPBfLoblEgEueNzSL//Gr5+yvFYfeKxyOfzeOGFF3DllVcin8/j9ttvh0wmg0qlgsPhQCwWw9VXX42Lfx0AU8gi8NQPIBs6FH32IzC09lZQAN49wFiy1fj9/qqbzCvx/N4AfvrqR2AHDgIlEsPp8eHK/4kAOB6nLDTg5ZdfxlVXXVX1/nw+H0QiUUduvIlEAtFotGMBHOeTNzo62vWZhEKhwOsQ9ff3d3o5PUc4HEYulwMAmEwmkukjENoECaQwkYFZvnw5bDYbtm/fjrVr12LXrl2QSqU49thjsWnTpmmlKs6w1+n2gGUZSAfsgEgM1ZErUfDuw9BFP8OzPz4NS5YsQbFYxI4dO/DCCy/g/PPPh8Fg4LWl9u/fjxtvvBEWwyjee/QnKGdiiLx0LwbX3gJxn6ojxpK1NpkfyG0v7UOpTw8kw5BozWBSEYw9eQfWPs7ioIF+nH322Tj99NPn3E8ul4PP58PQ0FBbLXGAz7SM1Gp1xzInLperZ6bYQqEQ8vl8T5QlhUQ8HkcqlQIAGAwGDAwMdHhFBML8gwRSmFAQX7RoETweD5YuXcrbwOzfvx8ymQwPPvgg1q1bh40bN+Lyyy9HMBiERCLBe++9B71ej0QRKMX9oERiiFUGsAyDASoFlmVht9uxZs0a/O1vf8NRRx0FhUKBp556CkceeSQYhoHNZsOZZ56J3//gx/ib9RAUIzT6Djoa8beehm3VxW03lqy1ybxQKCAajU4xdHa6aTDpKESyiSBQZj4I1gvuBgVgb5XZtUAgAJZlO3LjDYVCyGQyHTM5zmQyCAaDPeGTx1nldKqvrBdJp9OIx+NgWRYajYY0jRMIHaa7r9JNwO124/nnn8d1112Hn/zkJ3j99dcBgA9yTjvtNLjdbrhcLvz2t7+Fw+EATdP4INmH/3/rfqSlU4MOiqIgEktwzVnHw+Vy4eSTT8avfvUrnH/++RCJRCgWi7zQ4CuvvIIFCxZgZGQEe//4O6gggelf/h0p7ShCm6/Bzffd1TZ/JJZlEY/H8fHHH8NmsyGRSEw5JpZlp2zP9QxJJBIMDAxMueEP220YdwMS1VT/vWqya9wEo9lsnmaZ02q4z+7kTb+XfPJisRiSySRGRka6vizZafL5PG851d/f3xG7KAKBUJl5H0h973vfw6233jpNHPOVV17BwQcfjOeffx533XUXvve972HDhg341re+hXfDItz82qdI5koQS8qgqIlGzlIiBN9jl4PJJrD+jC/gP//zP/GVr3wF69evxznnnIP+/n7ceeedeO3jKO5//EPsfWojTKPH4JmdYxgbG8Mtt9yCDRs2gGVZ6B6/tO4gKpfLIRaLoVwuIxgMolAozNkvwWk9ORwODA0NVfU5M/VRXXHK4bjilz4UJ72mkIrnzK4FAgEwDNORIIILDDsVwBSLRb5/qN0BZLNhWRYulwsajYbXTiPUTqlUgs/nA0VRvMo4gUAQHvM6kNq+fTvMZjOOOeYYPhPFsXnzZgDAiSeeiP3790On02HVqlUQiUS457VPkC3KIFYZwKTCiP7ufuTc74Mt5QGZAgOr/h27H/1PlEolWCwWPPzww7xkwtYdH+O+P/iRCLiQ+WQnCid+ExddfDFAibBhwwYAE0ENRVHIZDLIZDL8hGC1hMNhXHrppXx245xzzsH111+P66+/Hs899xxEIhGUSiVisRjf+7V//35cdtllKJfLePDBB3lph5tuugmrV6+esv+5PPXOONqGSHAhHvpzbNrUXiUKhQK8Xi9MJlPbm5A5f75OjuFHIhFks9meyEJxv89eUFvvBJPlCsRiMWw2G8nmEQgChzqwZNMOli9fzu7atavtnwtMyBXc9tI+eGJZFN/+b+T++hpUCjlyuRwSiQTWrFmDhx9+GDqdDl/4whdwzz334Jvf/CZefvllaLVajI6OovwvN0HUP1HSKyWCE/1AUgVYtgyRvB/6cgLPbjgVKpUKHo8HuwNl3P+/Y6A9XoilcpRyaWSd7yH3t51QH7sGoa0/AiWW4JCDD4JUKsV3vvMd3HnnnXjqqaewePHimhutvV4vvF4vli1bhmQyiaOOOgrbt2+H3W7ny4p33303PvjgA9x33318GfO5557Db37zG6hUKlx++eX8/g5sxj///PPxzjvvQCQS4bDDDsMjjzwybSyfE42ci1AohEKh0PZSBZc1UalUMBgMc/9Ai9bgdDqh1+t7wleOpmn09fWRhuc68Pv9vIenxWIhQSiBIDAoinqHZdmKPm3z6mzdtpvGNVveAx3LggUgOW4t9Bc9BP2F9wP/tB59w0fiXy+7BZdeeikkEgkef/xxFItFjI2N4aijjsLo6Cjcbjf8j34fTGrCmwpsGXLLYZAaHQDLoE8iwo2XrMFhhx0Gq9WKPUEWP3krgmBZCZFSB/GAA3LbQhR8H0Hu+BwUo0sxctV2qI/5F1x44YV4//33kU6ncdZZZ0GhUOC8887DwoULsWjRIrz11lsAgJ/+9KdYuHAhFi9ejCuvvHLacVosFixbtgzARD9FKBTChRdeOOVmvXnzZjz00EMAJsqYIyMjM+o6cc34HDfccAN27dqFv/zlLxgeHsY999xT89+iVCphfHwcfX19bQ+iwuEwXC4XHA5Hx4KoZDIJp9PZE+a8mUwGY2NjMJvNJIiqgVAoxBsEGwwG3iCYBFEEQncxr0p7t720j1cOL8Z8oCQylABkEwCTTSKbz+Oyh3+H/Zvuh8lkxKmnngoA+O53v4sf/OAHAIDR0VHc+PCvcfNrNJJhH8RqI1iWBZMMYmDQiktPcODMZRNWLoFAAA+9E+Y/k6NcyCHv3AvDP38HTCqCskSKQ/7pbLz88v146KGHMDIygqeeegrf/e53ceKJJ+KZZ55BoVBAJpPBa6+9hueeew7vvvsu5HI5AoHArMf8wx/+EKVSiRfzvO666/Dggw8in8/zpazNmzfjK1/5Cu+Rd8899+DRRx/F8uXLsWHDhinN+MCEIKlcLgfLsshmszWXHsLhcEdKWZwyeafHxD0eT8c8ApsNp/FFZA2qIxaLIZ1OAwCZZCQQeoR5FUh5Yln+3xKNCUwyBJFCC5GsD7AeDplpFLlCEeI+Jd54440pmQKub4FhGCwzU/jO5yT45Q4KgZgPBkkBV53zJXz9hIWIxWK8fEI+n4cvNRFElXMpiOQT5S+RrA+O9U8AmCgNqgeG8B8nWfBP636BoaEhyGQyxONxvPXWW7jlllsAADKZDDKZDD//+c9x9dVX8z5rZrN5xuPdt28f7r77bqxbtw779u0DANx444344x//iOOOOw4bN25EoVDAr371K7z22msAgHXr1uH6668HRVG4/vrrcfrpp+PZZ5+d1ox/4YUX4oUXXsARRxyBjRs3VvX7ZxgGLpcLAwMDbQ9kOqlMzpHL5Xix024XS+Q8/zqh8dVtpFIpxONxAIBWqyVN4wRCjzGvAimrTgH678EUJRJDoh0Ek46BKWQh6lODFYnBsiwsF/0MarV62sg/RVHYuXMn0uk0TjrchH9coIdUKsXAwABSqRR2796Nvr4+RKNR6HQ6yOVyGEVpeOM5MOkoxCoDyoUMAEAMoMyysOj68a3j9Pg/XzoKwMQNv1AoIBQKwWQyYcOGDfjkk09wzDHH4K677sJHH32EN954A9dddx36+vpw++234/Of/zzf+zX+t48Rff42mFQyuPd/BJFIhHA4DGCitPn9H9yEuOgQJNkjUSqV8Jvf/AaLFy/my3qDg4P88R588MFIJBLTmvFZlsUvfvELMAyD//iP/8CTTz6JCy64YNbffSQSQTqdbvsoPNf8PDQ01FGT32Aw2LGJxGYTDAZRLBZJFmoWcrkcf96pVCoSPBEIPcy8CqSuOOVwXLPlvSmlNrFSB7ZUmAh0lAZQEikMxdCUSTVOfZymafz617/mhSIfffTRKYEHy7LI5/OIRqN4++23sWLFCqw7aQFueuFDpCetQyER45rVh+PUJRYUi0V88MEH2Llz55RJuDfffBN//vOfce2112JkZAT33nsvrrvuOuRyObhcLmzZsgX79u3D2WefjZ88+wau3boX2SIDyYAdxm/cicCT/wnbQYcin4xixYoVeOh/nsX6uzbDv/t1DH79Zux/5wWwoHD7zx7GmV/9Kh/cPPzbP/PTdtFn7kU2k8Xo6CjfjH/eeefh1ltvnfjdicU455xzcOutt84YSHEK4Xq9vq2j8Fwjt0ql6mjwwmXhTCYTXzrtVkqlEmiahtFo7PpjaQXFYhHBYBAsy6Kvr48ETwTCPGFeT+1pFVKkCyUUmYnfQSkZhkIuw23fOIEf1ecm2nbs2IF9+/ZBrVbjoIMOwh133AEAfOltMvF4HOFwGIODg1Aqldi2m8aPnn4TobKyohQAy7Jwu9344Z0PYfPjj6BUZqEy2kBFPsUXjl2OvXv3gmVZZDIZHH744Vi/fj2+8IUvIJ1O4+STT4b2lEsRYeRgS0UAZRTDNCIv3g1QFPD3Meoy/i6qybITr4vEQKkAUBRotxtWqxXbdtM4/5vfRNb3N4CiINGaYTttPW47/4vQxT/G7bffjl//+td466238IUvfAH/j707D4+yvB4+/n1mzWRfJ8tMEnBhFwURtSi1VcSqFXdUfrYKaKuvihsutVqrdafuVqsWXCu1ahVBWxW0LhURBBGRKEqWmWwzSWYmk5lktuf9Y5jHBBLIRhY4n+vyKpnMcs9Dmjmc+9znqKrKwoULAVi0aFGHa1BTU0NSUhJ+vx+73T6gWaiGhgb8fv+gdSZPSDSkHOj3vyc0NTXh9/ulL9QOYrEYNTU1ABgMhg7/sBJC7D12dWpvn8pIQbzHUfsgpn1gVVps57Kj7RySFdZ6JSW6j9vtdqqrqxk1ahQ5OTkcccQRvPLKK52+RnNzM/vttx8VFRWkpKRw6iQbU/OP6vJ0mqIovPq/Mp7/2+MUznscndGM6/W7CUd0/PScS/nL9AksWrSIDz74gNzcXDZu3MiZZ57Jt99+i6IotOSOw6woRJrdgEKSfTxpBx+P+60HmT3zKI4aV8Klf3yInJOvgVgMRacHvR7nXy4k77TfUV1dTU1NDX945nOSJ/+SZEXBkFmAPimVMPEi/TuOiJ8kUlWVBQsW0NraiqqqHHzwwTz++OMd3o+qqlRUVDBmzJgB/eANhULU1taSlZU1qFmoRGCclpY27AOPRGYvMzNz2L+X/qKqKrW1tcRiMXQ6HUVFRcM+UBZC9N4+F0jtaMfAKiHRY2jp0qXMmjWLb775hjFjxpCVlQXA4sWLmT179k6P8/l8nHjiiZSUlPDqq69yxx13sGTJEr7//ntcLleXp3Re2NCAGgmjRkKoegNqpI20Q2dx6/VX8ly2mYKCAg455BCsVivffPMNEyZMwGQy8eyzz3LzGrTaL1CJtjQRC4cIfreadT87m+OTkzEqMS0bFQ36QI0BYB95IFOmxINs3z9rMXeyY1PtCXLMMSdxzDHHAPDGG290GRR6vV48Hg8lJSXaScGBkMgKDPaA35aWFlwuF8XFxbtsWjoc+Hw+mpqaBj2zN1QkpgRAvJZwuM9BFEL0D/lN0IXi4mJcLhevvfYaH3/8MVlZWVoQdccdd2AwGJgzZ85Oj1u0aBETJkzA5/NhNpuZOnUqZ555Jscdd9wuX69BTSVtyiycj1+AojeStN+hpE0+ifTJJ3Fo3SssX76ccDjM448/jqqqNDQ0kJaWRlZWFqt8X/HcR9+hGMyokTbUWIywaxumggPxWoqYPfskWrIO4L6PXPH6sLQcosFmSi98gJvPma6toX0xfns7zsjr7EM10eAyLS2N0tJSLbDZ0/x+Pw0NDYNeTA7xVgB6vX6vKMJ2OBwkJyfvFcXxfdHU1EQgED8gkpubO+g/Y0KIoUc6v233+non0+5excgbVjDt7lW89HEZr7/+OocddhgNDQ1aK4RnnnmG5cuX8+KLL+4UUGzdupUPPviA+fPna7fNmDGjW8fDreYIwW1fkD/nHgrOv59YwIt/47sUZVpYsmQJW7Zs4YADDuAf//gHKSkplJSUoNfrefrtz3n5f98Ra21Gb0nTnq9l839JGTtdC4JOmFDIXacfhC3TggKUFFq58rgDObrkx7UtnDkai7FjFqWzGXk71tX5fD4qKyux2+1asLmnJbac2traKC0tHdQPuFAoREVFBZmZmdponeGqpaWFiooKCgoKBq1Z6WBrbm7WGmWaTCatUaYEUUKIzkhGih87nidO81VUObjlXy4KNi3n1BNOYNq0aXi9Xl544QXuvfde/vvf/3Y6E27BggU88MADO/VcSklJ2Sn4SLxuoj6LbZ9jyszHlFNCyF1J8rifEa7ayCVHXgTEm/fNnDmTZ555Rjshl56ezpIvmwmGwkR9bnRJqSgGE2osSuu29dhOXtAhCGq/jdnY2EhSUpJ2TDsnJ0f7XmJNu5uRB/Et0JSUlAHNXDQ2NmpF7IPdBbqhoYHW1ta9InNTXV2N0WjcK95LTwUCAZqa4tMKpF2BEKInJJDix47nWhuE1GzaolE+/WgVL/3tMQwGAzk5Odx6660EAgGOPfZYdDodRxxxBE888QQQrxvKy8vrdAByKBRCUZQOw4d3DN7azNm0VZeRYdbTYE5BqVzH2Scex7i0NpxOJ0VFRbz33nuMGTOmw3M7XB5iAS+KKQlQ0FvSiTS7KZz3GPeed0SXQVAwGCQ7O5vk5GQaGho6BFO7CpwgvrWX6M9kt9sHrBaofTH5YNdCJTJig90lvT+0trZSW1tLYWHhPpV1CYVCuFwuACwWiwRPQohekUCKdh3PFV08c6TogChF857Abrdr99u6dSsQHzCqqioFBQVaVumrl5+k7fs1vPVOMbpYWOu59MILLwDxnkt1dXVakXb7cTWxVj+mwgOxjJrG1qcuYz9rOsXFxTx623X8/Oc/x+v1Eg6HOfjgg7n++uu1CfGxWIz8ZIWKmiaaVv5VW2ekqQb79LMZqTuYI488E7/fT0FBAa+++irp6emMGDECi8WC2WzGYDCwdu1a3G43DQ0NPPfcczz99NMoisJBBx3EkiVLtK3JK664gsWLF/P++++z3377DWjmora2FlVVBz2Agr2rCLu+vp5oNLpX1HV1RzQapba2FgCj0SjBkxCizySQ4scia0VvwJhZQMRbTywUZOSBYzq9f35+PsFgkCdXrOb+T1wEo5B+xNkYjr8Ui1HPnJJmVr/xrBZEJWRlZeF2u8nNze0wrkYxmgnXl2M54DCSD5jKv+84k++//x6IN+ZM2Lx5M1u3bsVoNFJYWIher+d3pytc+2wAy4WPAKDGojgf+xWXX3A28+fPZ9GiRfz0pz/l/vvv57777uP2228nGo3y0UcfdThBmJuby1dffcWDDz7Ili1bsFgsnH322SxdupQLLriAtWvXas0G8/PzBywLM5SKyQGcTicWi2XYb3+Fw2GcTidWq7XTbeq9ibQrEELsSftssfkDDzygjUbRffAwZiWKb92bOP96Ec4n5pJkMvCbqV0XDlssFp79KoDf20jYVY4+LR5YBMNRln5epd3v4Ycf5tBDD8XhcPCTn/yEyy+/nGg02uEknKI3YsrfD3PhKEaMOQidTofVauXpp5/mu+++Y82aNaxduxabzUZBQQF6vV7bTpsxKpNbTztEKyJPdW9h5IhSrp1zImVlZUyfHj+Vd/TRR/Pqq6/u8ppkZ2cTiUSorq4mEokQCAQoKioiGo1yxRVXcNNNN6EoCkajsbeXvdsSvagS9UeDHUQFg0HKy8uxWq3Dvgi7oaGB+vp6RowYsVcHUfX19TidTqqrq7FardhsNgoLCyWIEkL0q30ykHI6nTz88MOsXbuWTZs2UZhuYmbS9xSPnUTuLxdiyrRy61lHcuqUUhwOR5fPU+0Jok/NIRYKdvjl3JI9muXLlwPx7bB169ZpAcrf//53HA5HlyfkrjthDEVFReTm5rL//vvT2NiIzWYjPz9fqw/6/vvv+eSTT2hqasLj8fB/Px3PJzf8nG13n8ThbOHCObOJRCKMGjWKN954A4Dly5dTVVVFY2Mjer2e448/nkMPPZQnn3xSe32bzcZ1113HxIkTKSgoICMjg6OOOorbbruN0047TZvHt6e74Tc2NlJVVUVxcXGXfbcGUn19PV6vlxEjRgxIELmnxGIxysvL9+otrcbGRu3EXWZmpnbibrj39BJCDF377NZeJBIhGAxiNBoJBAKcfOR4bj/8cKLRKJM/fIgTJxaSnp5OUlIS27Zto7i4eKcGfEWZFsrLt2HILATitU4Nbz+M2lTF2DdSWLx4MUceeWSHxyiKQmZmJsdkqNx1+kEdTshdMb2EKXkqTqeTnJwcJk6cSCgU0j70mpub8fl8mEwmRo4cSU1NDXV1dVoQFwqFWLZsGZs2baK+vp7777+fP/3pT9x+++2ccMIJGI1GgsEgn3zyCTabjfr6embMmMGYMWOYPn06TU1NvPHGG5SXlxMOhzn//PNZvHgxK1eu3KmAfk8IhULU1NQMiWJyiP+MOByOvWJOntfrxev1DvjQ6IHg8/m0k7JZWVnDPmMohBhe9slAymazce2111JSUoLFYuH444/nmGOOweVy7fQv9UTQkjihlZqaqn1v4czRXPnwl5A5CoDGlU+SfuBhPH77y5w4Pk9r5LejjIwMKioqmHVICbMOKaK6uhpVVbFYLB1qjwoLC/nuu++0E3VpaWmkpaVhNpsxmUy8/20Dj7/9JY2hTYw4cCw/TapgwoQJ2vyvrKwsnnvuOVbXRLnthffwGzI59fHV3HTGEdhsYLVaOe2001j8r3e58X8Rvlv9LkqzmVVbvRxRZOSXv/wl9913H21tbRxwwAFA/Jj4tGnT2LZtW7/+nSRqWIZK7VFTUxMtLS3Dvgg70Sg1PT19SASn/aWlpQWPxwPE24DsrRk2IcTQt09u7SUyL9u2baO6upqWlhYee+yxXf4yLikpIRAI4Ha7tdsOzY3x+9lHYcu0oLa1EHFu5i+3Xcupk2yYTCYyMzNpbW3ttL4nPT2d1atX43Q6KSwsxG6371TArSgKKSkpOwVkubm5/PPTb3ng/Qr8WQdiyCpk2zcbePSJpxh56HSys7MpLCwkPz+f1z77jmueWcWW5U9iLp6As76B6178H6+vd9LS0sLSfy1nZZ0ZpyeIPj2Pxu+/4ncvfswXDXrWr1/Pb3/7W7Zs2UJ5eTnl5eUkJyd3KIDvK7/frzWz7GrszEBKtDXQ6XQdTmwOR36/n8rKSmw224CO69lT2tratG27RKbWZrORlpa2+wcLIcQess9kpNo3vzRVraE43ap1of7pT39KWVnZbp/DarXi8/lwOBzY7XYqKip47MbLsdlsPPanP/HrVVYunjmJc3w+bDYb69atIxgMUlgY3/oLh8PU19cD8azU6NGjMRgMu2wqaTAYSE9Pp7q6ukOg8fgH39MaiaFXVXQmC4bcEbRUbuIr8zX4/X6cTidvv/02dz34OFFFT/Kon2AZ9RMURUf5M9dy3vNQnJmEv2ASurwDUCNh9ClZJI+eRuVLNzPnlT9yxoyjuPrqq7X5ef35YZzIlAylMSSJE4LFxcWD3uizr5xOJ2azechc296KRqPU1NSgKIrWZVwIIYaS4f1p0U2J5pdOTxAV8Okz+OiTT/nH/7ZSX1/P559/zvjx47v1XOnp6VitVj755BPefvttxo4dC8Trab766isWLFhAW1sbKSkp2iy+Tz/9lPHjxzNp0iROOukkxo4dy9NPP83KlSuZMmUKOp2OtWvXdvp6+fn5NDY2oqoq0WhUu73OGyTiqSHSEC+G15stFF/2PNU1tTidThRFYd68eWSecAW5v7yWpJKD0On1GLMKKZr/F/Iv/AtlZWWYjjwfxWAi1taCIcNK1k9/he2iJ8i/4FGef/55zGYzVquVUCiEx+PB7/f3ucamqamJqqoq7Hb7kCgmh/jQ48QJweEcRCVOF+bl5Q2Za9tTqqpSXV2N0+nUttttNtuwH78jhNg7Dd9PjB5o3/wy7KlFn5aLecRkLjjlGKZPn45er+fiiy/m4Ycfxm6343A4mDhxYoeZee2ZTCZcLhcffPAB+x0xk/9tdXPqkm9QgbEzzwdg3rx5fPbZZzidTqZMmcLXX3/Npk2bWLduHcnJydopuH/9618cfvjhnb5ONBrF5XJRXV0NwNq1a3E6naxZs4ZUfxWK3kgsHCTS7CbS7CYWCjLiwLHst99+5ObmxgfojpmIMduOMa8UY04JkeYGIs1uchQ/sViMokwLOqMZfUrHbNOOg4qtVittbW14vd4endpr32Zi9uzZlJWV8Zvf/IYZM2YwceJE5s6dSzgc7vbz9be2tjYqKirIzs4etoFHQm1tLT6fjxEjRmAymQZ7OT1WV1entSsoKCjQ2n3sbcXxQoi9yz6xtde++aUhNYdowEv6lFOIjT+GVXeeBcR765x55pmceeaZ2n2vvvpqcnNzyc3NZeXKlVqxd319PTfccANlZWX8kHMEwbYQKXo96Axc9cjLeOb8jLKyMhRFwWazaR9qqqqybNkyiouLMRqNZGRkAPEtv8rKyp1qhHQ6Hddffz1vvfUWVquV1157Db/fz/Lly6l96wkCigVVVcn62Vws+x8Wb5/wi7GkpaWRnJzM6tWruXrmWG588WNCOgOKwYghLQeLUc/vTh1PbW0tcyelc9db1YSNqSiG+NH+zgYVQzw7VldXh8/n61Y9U6LNxObNm/H5fMyfP59PP/2UCy64gF/84hcAnHfeeTz99NNccsklPQoFfFYAACAASURBVPkr7Rdut5tQKDTst79CoRDV1dXk5+djsVh2/4AhJDGrEOLB+nBuLyGE2DftE4FUonM5EA8m0nMJe2opKiwgFouRk5PT6QfQpZdeynXXXcevfvUrioqK8Pv91NTUcNddd9Hc3IwpPZe2cIRYKIh/4zvoTBZqVjzMZSseZOIBdtLT06mqquqQwXnttde050tITU3FaDR2GpzMmzePiy++mPPPPx+bzUZTUxPhcJhrrryCsTPP57bn3saXUrzTgGG9Xs+IESPYT6fj/LFG3vUVdDqIeF5RETnWQu589TNqmtwUZFi4eubBXc7by8/Pp6amBp/PR3p6+m6vfTgc5ttvv2X//fdHVVWKioo4/vjjte9PnTp1l7269oRYLEZlZSU5OTnDPguVCAaH0+lCr9eL3+8H2CtmFQoh9m37RCC1cOboDgOCI/5GUjNz+f3ZU7DbbdqcuZSUFLKysrTHTZ8+nfLycgDe2FDNff8pw1Hnpu7FV0lSwoSaG4l8+CxqqJVQhhXUGIUXPozeYOLBWdnccsstGAyGDn2eVqxYwbXXXqtt1yVuV1WVjRs3Mm7cOK1fVSwWY8SIEbhcLkwmE6mpqcRiMXw+Hzk5OZxxWCklHMphhx3W5XsvLCzkqFFW5o8Z1eUptPig4tO1r30+H06nEwCz2bxTsJGfn6+dJOwqmFJVlVgsxiWXXMK0adO0NhPtg6hwOMzzzz/PQw891OX6+5vP58Pj8Qz7fkrRaJSqqiotYzrU+f1+vF4vED9oIUXjQoi9xT5RI3XqJBt3nX4QtkwLsVY/Rdlp3DN7ipZ1yc3NxW63YzAYcDgc2lDTBF9rRCtWb/76A0z7TaHw0ucxpueRPfMykkonknfKdSSVHoz/y/+Qnwy3/vkvfJ88jlMXf81Zz21hTZ3Kl19+yZQpUzj44IMpKirS/jOZTBQVFZGdnU1NTQ3V1dWsX7+ezz//HL1eTyQSIRqNsnXrVvx+P263m4ceeohx48Zx2223aScBO+N2u5kyZQoGg4Hy8nJCodBur1eiL4/NZiM1NVU7cp7odwVQUFBAIBDA5/Pt9PimpiYqKytJTk5m5cqVHdpMtJ8/eOmllzJ9+nSOPvrobv099pXT6SQSiQz7YcNNTU1UV1dTWlraoa/ZUNPa2qr97EQikQ4/U0IIsbfYqzNSc+fOZfny5VitVjZt2sSJ4/M444wzqKqq4tZlcOX2I/0bNmwA0GqgwuGwtiUXjUZx+9vQhaPEwq34N75Dwbl3xrNbCpgMOlq2v17mMRfS+Oa9bNn4JtGMYrJOuhYibTg9QX5z/W34//cSWZnpnHvuuSxZsoSamhrOOeccNm7cyI033siKFSsoKysjIyODsWPHkpSUBMQzN2azGYvFQmpqKn/4wx/IysoiLy+PSy65hPnz5/PXv/5Ve9+JYCccDrNhwwYmTZqktU/Ytm0b+fn53W5lkJSUpGUPEo0+a2pqUFWV3NxcGhoaUBRFu25L3vmCv31eR7XbS3LT2xSnW2lsbGTGjBk0Njby8ccfc+mll/KTn/yEpKQkJkyYwJgxY9Dr9Zx00knce++9/fS3/6NgMEh9fT1FRUXDugYn0eMqMzOT4uLiwV5OpyKRCLW1tSiKgtlslsyTEGKv1y+BlKIoJwAPAXrgaVVV7+6P5+2rCy64gMsuu4xf/epXQDwj8eabb2rfv+aaa7SCb+jYa6oo08K1x4+iKOwmHAoTC7US8dYSbXZTvfhyAKLNbkIf/Y3xcx/CHYURI0by2PJV3PefMqrqGgg3OTHl70ek2U3DZ69DVOXrr7/moosuYunSpTz11FN89913xGIxPv74Y8aPH89///tf3vnGxVN/36qt49cH/ThY1u/3M27cOKqqqrSts/POO0/rVdVeomVBovaqsLCQlJQUHA4HW7du1W7vLDuTCMYsFguZmZkoioJOp6OoqAhFUbjpppt48803ycnJ4YUXXsBgMPDXf/6bxU8+TshdRd5ZfyCSFG8zsWF7c88LLriAyZMnc/PNN+NyubjjjjtYtGgRX375JWazeZeZtd6qr69HVdVhX1Du8/lobGykpKRkyLVnSATYEO97NtwbmQohRE/0OZBSFEUPPAbMABzA54qiLFNVdXNfn7uv2tc4VVZWdvhXvKqqvPzyy6xatQr4sddUoo7K6Qnyu39t4qojMjGajKjRMDpzKkXzn0BviXdSrv3rPL756sudalSu+scGdOZkTPn7oSjbP/TUGEUXP6V1Ki8sLKSsrIy6ujrq6upYv349jz76KGvqVP607CvCpjQUvQGnJ8g9/64i3BohNTVVa05os9nYsGEDq1atYvz48TQ3N+/U4dntdu/UeycjI4OMjAxaW1upqanpdIZge4FAgNra2g4F8zU1NZx88snMnj2byy+/nEgkgtvt5r1vm8iYfj7e1a8CYC4ajWXUNC489efcbk1n0qRJ7L///jQ3N+PxeDjnnHPIycnhnnvu4ZZbbsFqtXb3r3a3EnPyrFYrycnJu3/AEOZwOLBYLEOqoFxVVWpra4lGox0CbCGE2Nf0R0ZqKrBVVdUfABRFWQrMAgY9kEqIRqNkZmZ2CBg++ugj8vPzOfDAA4GOvaYSKl+9i8se2kQs6KN2yWWkT5tDytjpRHxukkwG0i2dbxMlTgkmgihDWi7pU0/D+cSFFP79co477jjGjRtHamoqZWVlFBQUUFJSQkVFBXf88xNaoyqxhipM1pG4lt1LW+VXxII+xo0bx6WXXsqWLVvYsGEDra2tjB49mqeeegqfz7dTINU++Em0LigoKADiW3aJGYKZmZldFo0nJyfvFIgoisLkyZP59NNP0ev1HHHEEQC0vlmP2WACXoXtr5159ByUo+ew6e6TgPh26yOPPMJll13GIYccwqxZs1ixYgUrV65k0aJFuyyc767GxkYCgcCQCjx6IxAIUF9fj81mGzJbkm63m7a2NiD+M7WrIFwIIfYF/fFb0AZUtfvaAXTeYXIQBAIBVFXdKVB46aWXOPfcc7Wv2/eaivhcRANesn42DwX47Kbj+PemGh7/4AdqfQEKM5P5zdEjmHjeq/zwww8EAoEOH3TzJmdy51s1tG4PzGKtLbSWfcL9zy/njJ+MZt68eTz//PMoisKIESPQ6/WkpqZiMBhwRZMxpKZAanyCfd4p1wGgAJ9cMQlVVbW6k5qaGiKRCIWFhdopuwS3201OTg4NDQ1AvB1C+87oCSUlJbjdburq6sjPz+/WNW1qaiIUCpGfn49er//xuYrtVFQ5UHQ6aJedSDT3DIVCLFu2jLvuuit+nSMRGhsbWb16NZ9//jlnn302P/zwQ68zG+1riIb79lJNTY3WwmKwNTU1aac094aWEUII0Z8G7J+TiqJcDFwM7NEp9O3rnArTzZyU79vpX82RSITXXnuNdevWabe17zVlSM9Dn5pN1N9EQaaFwsJC5hYVMff4Qzt9zcQWR0ZGBqmpqcwtLOSHgJGXPqsiqqoEq79h1OjRXH7mz3A4HJxyyils2rSJ5uZmkpKSMBgMWubBn5WsraO9RDCSkZGB1+vVartSUlJobm4mNzcXl8ulbeW1tbWRm5tLVlYWTU1NHdo67Cg3N5dAIEB5efkua3AikQhOpxO9Xk9paam2bZoQbzMRwhWLoobbtNtb2iK8vt6JUrmWyZMnawGb3W7n9NNPR1EUpk6dik6n63Q7sjsSpxmHYg1RT7S1tVFTU0NBQYF22GAwNDc3aycyMzMzd/nzI4QQ+7L++MRxAu2PENm339aBqqpPqqo6RVXVKXtqZtaOM/UqKitYvN6HrzXS4X7vvfceY8aM6ZC1WDhzNBbjj9kVRacnLSefG04/QjvC3dVolMQ4i3A4jMPh4Ln3N/HqOifR7ffXpeXxzfo1PPHm/7Db7axZs4Zx48bxs5/9jFdeeQWAZ599llmzZu20Doh3Gr/0JwVaoJZoZgjxhoYejwez2ay1Nmhra9O6qScnJ2vZBIPBQCTS8VokJIYHV1VV0dLSstP36+rqeHblBs55/htm/GU90+5exTtfd2wTkWgzYTSZUUOtxELxjtWeYJgbX/uKRX9Z3CELeOqpp/L+++8D8O233xIKhXqV7UjMyRsxYsSwDqJcLheNjY2MGDFiUIKoYDCo/azHYjGtXUFKSsqAr0UIIYaL/shIfQ4cqCjKSOIB1DnAef3wvD3Wvs4p4m/E88ES2hybiQV92O12/vjHPzJv3jyWLl3a4QMd0HpKtT+1174DeCwW07bPbDZbp9tPWVlZZGVl8ZclX9HcUA8K6EwW9KnZJI2axrUXncdfthddX3zxxZx00kmcc845/P73v2fSpEnMmzcPs9nc6ToOs9LlB1p2drbWhiAWi+F2uzs9dm61WqmpqelyvIuiKJSWllJfX08gECAvL49AIIDb7eZTZ4hFH7tp8fvAYOxQBL/jddQrCrqUDKIBD4rRiqLoaGlpYetH77P85ee0+86dO5e5c+cyYcIETCYTzz77bI+29dra2qitraWgoEC7bsNRItOXm5s74EFLOBzWTku2b3UhhBCie5SeDKDt8kkU5UTgQeLtDxarqnrHru4/ZcoUde3atX1+3R2NvGEFiXcTbWlCjUXjgYw5hW3bi537KhaLaV3Ji4qKOs2AJNahqjHUUBCdOf7hqECv1+F0OrUPuUAgQDAYJBQKaW0PqqqqsNvtWo+n9h+I7R+b6Ce1O36/nw0bNjBq1CisVivT7l6F0xMk6m9Cl5yOe/mftSL4osIC/vjHP5Kdnc3ll1+Os7YOnSkZY24xBefdoz1nX97/jtxuN+FwuNO2D8NJojB+IGu62rcrMBqN/XpaUggh9kaKoqxTVXVKZ9/rlxopVVXfAt7qj+fqi/Z1TvqUeE1HrC1AjuLH6XT2yykjnU6H3W5HVVWqq6u1LZD2AVX7U3uKOaXD7b2xY41TcnIyTU1NHbI3BQUF1NTU4HK5GDNmTJfP1Z3A2ePx4PV6Ofzww3E4HASDQa0YX42GUHT6DkXw7YOj0047jWl3r6K8fBs6Y8ftqd6+//YSc/KGy2iUrqiqSkVFBdnZ2QMSRCXaFcRiMWlXIIQQ/Wj4FpR0orP6opTUNH5/9lHYbDYaGhpwOp243e4+v1ail1MiC1RVVaWdiuuqzmnhzNG9eq1AILDbXkhGoxFVVbUZd+2lpqbS3NwcX4fFotVM7SgSiVBRUaFt8RmNRkaOHInX6yXPGCLib9QC1ITOgqOFM0djDPnRp/zYPb0v7z/B6/XicDiG/GiU3fF6vVRWVlJaWtqtwc994XK5tPE+VqsVm81GYWGhBFFCCNFP9qpAqv1MPQWwZVq46/SDtDqn/Px8bDYbaWlpWlFtV0FFd7UPqOrq6qiqquLkg/J3uY7+kDilt+NtqqrS2NjY4faMjAztBFaiOH1H9fX11NbWUlpa2qHbO8SzXb89uhRjqxfFYNJu7yo4mjkmmytnjuvX95/o5D7c5+Ql3seeHJrc2NiIw+HA4XB0mJvYvlWFEEKI/tEvNVI9tadqpHqjsbGRYDCIoij99i/1RH+ngoKCPjdSbGxsxGKxYLHsnPn5/PPPSU9PZ/bs2UC8cLiyspIrrriCs846i9/+9re0trZiMBi49dZbOfnkk4Gd660SbRO6ynoltqHWuRTufOUTGqLJ2HLTOxTjt+dwONDr9RQWFuLxeJg/fz6bNm1CURQWL17Mgw8+SFlZGRDfRmw/73BHifXZbLZh3fwx0Z6huLh4jwQ0Pp9PyzpmZWUN+27uQggxlOzxGqnhLDs73viyfRF5SkpKt4f6diZRAF1bW0s4HMZqtfb6VFlra6u2xs6MGjVKC0IqKyuZOnUqxx57LFdddRV/+MMf+MUvfsFbb73F7bffrgVSCQ6HA5PJtNs5dA6Hg+LiYkaM0HPGYaVUV1djsVg67S0UDAZJSkoiHA4DsGDBAk444QReeeUVQqEQgUCAf/zjH9r9d5x32F5dXZ22zTicVVdXYzQa+725ZiAQoKmpCYgP3JYTd0IIMfD2+UAqQafTaR9Efr9fa3VgtVp7nVVKjGOpq6sjFAqRl5fXr/2BCgoKtLEvLpeLjRs3sv/++zNlyhRCoZC2nef1enfqWr5x40bGjRu32yxPU1MTaWlpHbIoRUVFeDyeDpmthETWpbq6Gq/Xy4cffsgzzzwDgMlk0vpbwc7zDhPC4bBW09NZJm64CAaD1NXVUVhY2G/tGdra2rQav+TkZAmehBBikEkg1YnU1FStmLmuro5IJILJZOpVx21AC2Lq6+u10S3dCRAaGhq6zEZFo1FMJpPWYDMUCvHaa69x7rnnkp6ezuWXX87ChQu59tpricVirFixgpaWFtxut5YB2l0QFY1GaW5u7rQTfWZmJsnJyZSXl2uz4AKBQIf3tW3bNvLy8rjwwgv58ssvOfTQQ3nooYe0Xkk7zjuEH7dah3sWqr6+nlgs1i9ZqGg0Sm1tvPmpyWSS4EkIIYaQvarYfE9IFKinp6f3uUDdarVit9tpaWnB4XDs9nna2tq6zGAlxsQoikJrayuKorBs2TLOOussAP773/9y5ZVXUlVVxQMPPMAVV1zBpk2bKC0tJTMzs1u1YFVVVbsc52MymRgxYgR1dXV4vV4aGhq0lgSKohCJRPjiiy+45JJLWL9+PSkpKdx9993a49vPO0zUYRkMhmEdKITDYSoqKkhNTdUykr2RaK/hdDpxuVwUFRVhs9l6HcwLIYTYMyQj1U1ms1n7gG9sbNT6OPWmQD0RbDQ0NNDY2EhWVlaPOlq/vt7JHf/8H+5YMi3vPkJg62qyM9K1OXY333wzTz75JPvttx8rVqzgzjvvZMOGDR36Fe3ukEH7uX27Y7fbcTgceL1e1rl13PefMiodTgoyLGRbCzn88PgM6zPPPFMLpNrPO2xubqaxsZHi4uJhPeLF7XbT1tbWp2xafX29Vl9WWFg4rK+HEELsC+S3dC9kZ2djs9koKCjQsgadtRTYnZycHOx2O21tbTgcjg4z9BJbgDtKzBOs8bWiAroxPyPtp/NxN3m07M7ChQs54IADSEtLY/369Rx77LEUFRXx5z//GZvNxiGHHMKJJ57ISy+91Om6WltbiUajPQruVFVls9/CNX97F0dTCyrgilrwGzJ47F8fArBy5UrGjRsH/DjvUFEULfgYrkFDLBajvLy8Q7DdEw0NDVq7gszMTK1dwXC9HkIIsS+R39R9kChQTxzNT2z9JTIK3ZXobp0Yetzc3ExbW1unBcrt5wkCGLPtxCyZBFtaOP3004F4UFNQUEBDQwM6nQ6LxcITTzwBwFVXXcWGDRtYvnw5jzzyCOPGjWP8+PE89NBD2nPW1tby4osvoihKt5qXtrS0YLFYeOiDCiIpuUSbf3xM5rG/4frLL2LixIls2LCB3/3udwC8+OKLHH/88eTl5Q3rDuUej0drEpqWltbtx3m9Xu3nJTk5Gbvdjt1u71CML4QQYuiTrb1+0h8F6omhx4kP57S0NK3z9dy5c1m+fDke1ULRvL+AqhKq+wH32w+iRsKg07N582Ztq/HLL78kNTWV3Nxcli5dyiGHHMLy5cu17usGg4FbbrmFE044gebmZg499FBmzJhBRkYG0WiUd955Z5f1Ue0ltuWqPfF+XIb0H2e3mfL3I+//7mdjuzEyLpeL++67r081RINNVVWqqqpIT0/v9nVqaWnB4/GgqioZGRnDuhZMCCFEnGSk+pnH4+H//b//x7HHHsvRRx/NsmXLtAL1P//5z93K8oTDYSZNmoSqqlrt0QUXXMC///1vDPrtf2WKQtP7fyP98DPJP+tWjJY0rr76akpLS2lqamLUqFEcd9xxeL1e5syZQ11dHSkpKTz66KNMnDiRm266idLSUmKxGGlpaYwdO5Zvv/2WpKQkrr/+eu69995u1X61tLRozR+7mqWXuD0ajVJeXk5ycvKwDqKam5upqKjAbrfvtt9Ya2srDocDp9NJKBTSuuD3JHslhBBi6JJAqp8lGlBu2bKFjRs3Mn36dGw2G99//z1vvvkmNpttt4XeoVAIk8lERkYGdrsdRVEYOXIker2e3FQzRr2CgoIai0I0Ai2NpJj12tiR9qflPvvsM6qrq7nzzju59NJL+eSTT9iwYQOFhYXce++91NbWUl5ezvr16znggAP4+OOPsdlsHHzwwd16v01NTVot165mDHo8HqqrqyktLe1R7dVQkwiIRowY0WUNUyQS0Wqe/H4/drsdm83WaQNTIYQQw5ts7fWjXTWg/OMf/8hDDz3ErFmzqK2tJRQKddlBfcdMUHp6Ounp6Xi9XqKRMNFAMzpLKiljp+P577OgxlBbfXydfRQjb1hBqvd77bTcI488wpgxYygrK8NgMBCJRNDpdFx00UWcfPLJ+P1+zj33XG666SZGjhzJvHnzeOedd7r1fttnowBtXMx9/ymj2hOkKNPCwpmjOTQ3PkS5uLi4x9d0qAgEAtTX12s9s3aUaFcAoNfrsdlsw3omoBBCiO6RQKofddWA8r333uuQ5SksLCQ3N7fTDur19fVd1lWlpqbS1BojO9RGpPYH2pxb0GdYiXpqicVibPrrVWQffyn1P6wl6HJhK92PyRPHM3XqVCKRCEv+vYalm3w0qKm4X7yW1rofmDRpEjfccAPnnnsu69evZ/369eTm5mIwGAiHw0yePJk1a9Z0uhWXqI1q79RJNi2gSjQALSqyD+uBubW1tSiK0mlzzUQ9XKIVhpy0E0KIfYsEUv0osaX2yCOPcPjhh7NgwQJuvfVWPvzww06zPJ0VqLvdbqzWeLH26+udHbI7/zfOTDgURjGaMZccRP2rt1E4/wkURUFVVWqe/i1pBx9P2sHHE6r7Ae+7j1JRUYFer+fn/3cFN996OwFnGYrRhGJKxmgbi9KwjfPPP5/09HSWLVvGbbfdxg033MDdd9/NXXfdxRdffNHpqTq/37/LLbra2lr0ev2w7lAeCoWoqanZaVRNol8UxBu2DudhykIIIfpGPgH6QSLgqXRUY0jLpcYUb3x55plncuutt7Jt2zYtG+VwODrN8uTn56OqKsFgkC+++IL3vq7mr6vraCO+jbSt3ssd61zodQpquI1oJIQ+JZOop5qkkokEyzdgzP7xFNiOp+UO+90/yTzxKtL8jaAoRLx11L14PYreyEknnYTRaMTlcrF27VoAfv3rX3PzzTd3+Z6bmpo63aoLhUJUV1dTUFDQr3MFB5rL5SIcDmuBoMfjoaWlBYj3/xrOLRuEEEL0Hwmk+ijRIDMYjqJPzYLUHK5+6m246BdsWLmSyZMns3LlSkKhEA0NDUydOpW33nornkGqqelQeF5XV4fVaqW0tJTL3/EQMqZCuBXUGN7//YM2x2aiQR91z19N+rQ5ZP5sHk2r/oYai6IYTGSfcHmHtbU/ReeKWoi2NKBPyyXW2kySfTwF599Pw1sP8M4772Cz2cjMzKSwsBCID0ROSUnpUTaqoaGB1tbWfpkvN1ii0SiVlZXk5eVhsVhwOBwAWqNMIYQQoj0JpPoo0SAz1tZCrNVP+k/OwfHKHZz3yu1MnzyW+++/n+rqaoxGI/n5+ej1egoKCrrMaBQVFQFQ7QmiT0qFpPjWX96pNwKgAA/MPkQbwzLqyif52Zg8Xl3n7NCoM3FaLsGWlUyFvwFFUdBb0omFWkFRMBg6r11SFKXLYukds1GqqlJZWUl2dnan3diHi8bGRhoaGkhOTsbr9ZKSktJhrI4QQgixIwmk+qjaEwRAZ05BjUYw5ZRgPetWDKk5/Puek3e6f3l5eafPo6pqh+xUUaYF5/bnbq8o06IVdNfU1GgZpCml2TudlksUfUO8NcHVz7uIhFvRGZOIBb2YUzPITTWTkpKC3+8nPz9fe85EbdCO/H6/VtcF4PP58Hg8lJSUDNtTaqFQiLVr15KRkUF+fr5s2wkhhOg2CaT6qH3Ao0/OAEBVY+TqWnA6nZjN5m59MNfV1ZGfn699vXDmaG3LMGHHLFN77U/LdUWflEbI6yIWbEaflgv+BiC+beV0OjnllFN49tlnueGGG3j22WeZNWvWTs/h8Xi0LI3T6cRisXS7s/dQEovFqKmpwefz0dzczJFHHjlsA0EhhBCDR85q91FnTSiTTUZ+f/ZR2Gw2UlJStM7W7YcS7ygWi3U4/XXqJBt3nX4QtkwLCmDLtHDX6QftNljqyn3/KSMcU0GNoZgsuJf/Gcdz1+DYthW73c5LL73EDTfcwLvvvsuBBx7Ie++9x8KFC5k0aRInnxzPrM2ZM4dp06YxceJExo0bR3V1NdnZ2b1az2BI1KU5nU5qa+MtI/Lz85k6daoEUUIIIXpFMlJ91FUTysTtFotFy+AkZugpiqL1jQK67HS+uyyTTqcjGo12q0dTYgsyMQcv75TrgHjN1ba7T8LpdJKTk8PKlSu1x9x///2MHTsWn88HxLfAbrnlFk4++eQO2bOhzuVyEQqFgPjpyLa2NlwuF3a7XVoXCCGE6BP5FOkH3dlWg/gWWqKTeW1tLZFIBL1ej6IovQpMcnJyaGho6LSWaUe7qrmC+MDkpqYmbYyJw+FgxYoV3HTTTdx///14PB7a2towm83DIohqamoiEAgAkJubi9lsBqCmpgaDwTCsTxYKIYQYOmRrb5AUFBRgt9uxWq1UVlZSU1NDY2Njj57DYDAQjUZ3f0d2PQcPIDk5WQs8AK688kruvfdedDod4XCYzZs3k52dze23387EiRO56qqrtKaUQ4XP59Nm3JlMJmw2GzabDbPZTGtrK+Xl5WRnZ3fZOV4IIYToKQmkBplOp8Nut2O32zGbzVog0D6o6Q89qblavnw5VquVyZMnax3Xx40bx1133cWWLVv4/PPPaWxs5J577unXNfZGIBDQatBUVdWuZfs+V/X19TQ1NTFixAgtMyWEEEL0B6Wr+pw9acqUKWqig/a+rqamhvz8enwTMAAAEd1JREFU/J1mtDU2NhIMBlFVlcLCwi7roNq3QOiL19c7+dPLH+OOpRD57O8EN6/CYooPOfZ6vZxxxhm88MIL2v0/+OADFi1axPLly/v82j0VCoWor68H4pm0rgreI5EIDoeDvLy8XY6zEUIIIXZFUZR1qqpO6ex7UiM1yGKxWKeDbhPBgaqq2gkzg8GwR+qTEt3ZA5EkYq0elAknkj35FO47/2iM1Rt4+OGHeeGFF7SgTVVVXn/9dSZMmNDva+lKNBqlpqYGRVEwGo27bZTZ0NBAMBiUWighhBB7lARSg0hV1d0eu1cURcs4hcNh7dRfSkqKVrjeV4nu7IreQCzUiiEth7DBxH3/KWPBfi3a6cI5c+bgcrlQVZVDDjmEJ554ol9evyuJdgWJYNNms+32esVisb2iy7oQQojhQQKpQVRbW9ujbbn2mZjm5mYcDgc1NTVkZWX1aUBwdbvTfMasH9fjqGtg5iUzOfvsswFYtWpVr1+jJ+rr6wmHw0C8KL877R0g3l7C6/VSWloqfaGEEEIMCAmkBlEsFuv1B35aWhppaWno9Xr8fj9utxuIz+rrbKtwV7pqjZCXFCMjI6NX6+upxFYcgNVqxWQydfuxqqpSVVVFWloapaWle2qJQgghxE4kkBokfQmidpQYQdN+K8xsNnf7mH9n42hMsVauOnliv6yvK16vl+bmZoBeb8Ulgsji4uJuZ66EEEKI/iKB1CDp6bZeVwwGA+FwGKPRiKIoFBUVAdDW1qa1BEhPTyc9Pb3L5+isO/uFh1iZM31sn9e3o5aWFjweDxDPqu2uaHxXnE4nJpNJCsqFEEIMGgmkBlF/ZKRycnKor6+noKCgw+1msxmbLR4g+Xw+LajKy8vrtJdS++7sXq+3X2uM2tracLvdqKpKcnKytq7eCgaD1NXVUVRU1KMtQCGEEKK/SSA1CKLRaI/rmLqi0+m6nNWX0D4jVV9fTygUQqfTUVhY2GnA5PP5KC4u7tO6IpEItbW1KIqidRnvD3V1daiqKlkoIYQQQ4IEUoOgtrZW24IbaIm5fLFYDKfTCcQHKyfqkzweT68LzFVVpbq6GlVV0ev13WpX0F2hUIjq6mqsVivJycn98pxCCCFEX0kgNUgG+3h+YjQNxLfKHA4HEG+rMHZsz2qjEgOYEz2v+ivbluB2u2lra5MslBBCiCFHAqkBFo1Gh9zpMovFgt1ux+PxEIvFtKAqPz9fa8a5o/btCnZ1v76IRqNUVVWRk5OjnUwUQgghhhIJpAbYntjW6695ic3NzZSUlGhfJzJNer2egoICvF4vLS0tQO/bFSR4PB7mz5/Ppk2bUBSFxYsX89Zbb/HGG2+g0+nIysri3nvvZcqUKYOevRNCCCG6IoHUIBiKgYHH49lp5ExBQQF+v5+GhgbWrFlDRkYGVqu1yyHBPbFgwQJOOOEEXnnlFUKhEIFAgPHjx3PbbbdRWVnJ0qVL+dvf/sZhhx3W59cSQggh9hQJpAZQJBLBYBial9zv92s1U62trVqn9NTUVEpLS7WO4S0tLdrWX3Z2dq8Kv71eLx9++CHPPPMMACaTCZPJhM/no6KigpKSkn5tWCqEEELsKUPzU30vVV9f3y9NOPubx+MhJSVFG4hsNpu7bJSZkpJCSkoKEK+TamxsBKCwsLDbtV/btm0jLy+PCy+8kC+//JJDDz2U6667jpycHJ566imee+45MjIyeP/99/vnDQohhBB7SP8erxK7tSeyLElJSVrhd08kWiBs2bKFtrY27HY7Nput24XdOTk52mPq6upwOBzU1dXt9nGRSIQvvviCSy65hI8//phoNMozzzxDTk4Od9xxB1VVVcyZM4dHH320x+9JCCGEGEgSSA2QcDi8x7b1srKyaGpq6tZ9E/P4nE4ntbW1WCwWJkyYsFNn9J5IjKax2+1kZWXhcDhwOBzaKJiE19c7mXb3Kk57ZguGtFy+9hrx+/3MnTuXL7/8ssN958yZw6uvvtrrNQkhhBADQbb2BojL5dpjTTi7k+VyuVyEQiFUVaWgoEAL6qqqqvqleDzBZDJp24LNzc1aPdX/HG38YcV3BMNRdEmpqEnp3P7KarLzZrFh5UrGjRvHd999x4EHHgjAG2+8wZgxY/ptXUIIIcSeIIHUXqypqYmWlhYURSEnJ4ekpKQO329sbCQrK2uPvX5aWhppaWkALPrrv2hu8AEx0BnIOeFyqt98gDlvLmLG4RNZsmQJ8+fPp6ysDJ1OR2lpKU888cQeW5sQQgjRHySQGgChUGiPNKzsTHNzM16vF4hv+e0qUGppaenXbNSuuMImDOntaq9Ssyn89YMowOt3nwQgW3lCCCGGHQmkBoDL5eq3ob2dSYx4icVipKWldXnirr09nY3aUVGmBadn54L4okzLgK1BCCGE6G9SbD4A9sRJvVAopBV1BwIB7HY7dru92wOHW1paSE1N7fd1dWXhzNFYjB3bI1iMehbOHD1gaxBCCCH6m2Sk9rC2tjZMJlO/PFcsFqO6uhoAo9HYIfOUuL07GhsbB2xLL+HUSfGM3H3/KaPaE6Qo08LCmaO124UQQojhSAKpPaiqqorZs2fj8XhQFIWLL76YBQsWsHDhQt58801MJhP7778/S5Ys2Wk8S4KqqtTW1mqdvm02W58zXIFAYMADKYgHUxI4CSGE2JvI1t4eZDAY+MMf/sDmzZtZvXo1jz32GJs3b2bGjBls2rSJjRs3MmrUKO66666dHltfX4/D4cDpdGK1WrHZbBQVFfU5iBro2ighhBBibyYZqT0oKyuLKVOmAPFWAGPHjsXpdHL88cdr9zniiCN45ZVXgHiQk+hQnpubi9ls7vZrpaam0tzcrLUb6MpAntQTQggh9naSkdqDGhsbycnJAaC8vJz169dz+OGHd7jPk08+yeGHH47D4SApKQmbzYbNZutREAXxQK25uXmX92loaJAgSgghhOhHkpHag1RVBcDv93PGGWfw4IMPkp6eTktLC01NTTz88MMYDAYuv/zyPm/ZdefxgUBAC+yEEEII0XcSSPWz19c7ue8/ZThcHvJTdFx3cpinbv4Ns2fPZurUqTgcDpKTk3nvvff46KOPWLly5R5pj7Ajt9stQZQQQgjRz2Rrrx+9vt7Jja99hdMTJNrqpzaocOGv/4+oJZsLLrhA6/W0Zs0a7r33XpYtW0ZycvKArC0YDA7YawkhhBD7CslI9aP7/lNGMByNfxGLEvz+c/xbPuFTz0itwPzOO+/kiiuuoK2tjRkzZgDxgvM9OVdOslFCCCHEniGBVD+qbjcCxZBhxZBhJeX65SjAhu3z5ABOPPHEAV1XMBgkNzd393cUQgghRI/I1l4/6mpu3GDOk3O73RJECSGEEHuIZKT60cKZo7nxta9+3N5jcObJlZWVMXv2bADC4TBVVVXcdtttfPrpp5SVlQHg8XjIzMxkw4YNA7o2IYQQYm/Sp0BKUZT7gF8CIeB74EJVVT39sbDhaCjMk1NVldGjR7NhwwbcbjdJSUkccMABnHbaaVx55ZXa/a655ppuDzgWQgghROf6mpF6F7hRVdWIoij3ADcC1/d9WcPXYM6Ty8jIwOv1anP7gsEgX3zxBfvvvz+lpaXa/VRV5eWXX2bVqlWDsk4hhBBib9GnGilVVd9RVTWy/cvVgL3vSxK9lZKSQiAQAMDlcpGbm8vSpUs599xzO9zvo48+Ij8/nwMPPHAwlimEEELsNfqz2Hwu8HY/Pp/og9bWVvR6PcuWLeOss87q8L2XXnppp+BKCCGEED232609RVHeAwo6+dZNqqq+sf0+NwER4MVdPM/FwMUAJSUlvVqs2LXX1zu545+fUNccxmbN4ZjUd5k8eTL5+fnafSKRCK+99hrr1q0bxJUKIYQQe4fdBlKqqh63q+8rinIBcDJwrJoYLtf58zwJPAkwZcqULu8neifRVb3Z2wpqjJqWKI8tfZZfnzWrw/3ee+89xowZg90uu7BCCCFEX/Vpa09RlBOA64BTVFUN9M+SRG8kuqrHgl70yRnEQq20/LCeNRzQ4X6d1UwJIYQQonf6emrvUcAMvLt98O5qVVV/2+dViR5LdFU35pai6PQoQPGCl6hv7Xi/Z555ZsDXJoQQQuyt+hRIqap6wO7vJQZCUaYFpyeIotPvdLsQQggh9gwZEbOXWDhzNBZjxyBqMLqqCyGEEPsSGRGzlxgKXdWFEEKIfY0EUnuRweyqLoQQQuyLZGtPCCGEEKKXJJASQgghhOglCaSEEEIIIXpJAikhhBBCiF6SQEoIIYQQopckkBJCCCGE6CUJpIQQQgghekkCKSGEEEKIXpJASgghhBCilySQEkIIIYToJQmkhBBCCCF6SQIpIYQQQohekkBKCCGEEKKXJJASQgghhOglCaSEEEIIIXpJAikhhBBCiF6SQEoIIYQQopckkBJCCCGE6CUJpIQQQgghekkCKSGEEEKIXlJUVR34F1UUF1AB5ALuAV/A8CbXrGfkevWcXLOekevVc3LNekauV8/19zUrVVU1r7NvDEogpb24oqxVVXXKoC1gGJJr1jNyvXpOrlnPyPXqOblmPSPXq+cG8prJ1p4QQgghRC9JICWEEEII0UuDHUg9OcivPxzJNesZuV49J9esZ+R69Zxcs56R69VzA3bNBrVGSgghhBBiOBvsjJQQQgghxLA16IGUoij3KYqyRVGUjYqi/EtRlMzBXtNQpCjKCYqilCmKslVRlBsGez1DnaIoxYqivK8oymZFUb5WFGXBYK9pOFAURa8oynpFUZYP9lqGA0VRMhVFeWX777BvFEU5crDXNJQpinLV9v8/blIU5SVFUZIGe01DjaIoixVFqVcUZVO727IVRXlXUZTvtv9v1mCucajp4poNWGwx6IEU8C4wQVXVicC3wI2DvJ4hR1EUPfAY8AtgHHCuoijjBndVQ14EuEZV1XHAEcD/k2vWLQuAbwZ7EcPIQ8C/VVUdAxyMXLsuKYpiA64ApqiqOgHQA+cM7qqGpGeAE3a47QZgpaqqBwIrt38tfvQMO1+zAYstBj2QUlX1HVVVI9u/XA3YB3M9Q9RUYKuqqj+oqhoClgKzBnlNQ5qqqjWqqn6x/c/NxD/gbIO7qqFNURQ7cBLw9GCvZThQFCUDmA78DUBV1ZCqqp7BXdWQZwAsiqIYgGSgepDXM+Soqvoh0LjDzbOAZ7f/+Vng1AFd1BDX2TUbyNhi0AOpHcwF3h7sRQxBNqCq3dcOJCjoNkVRRgCTgM8GdyVD3oPAdUBssBcyTIwEXMCS7duhTyuKkjLYixqqVFV1AouASqAG8Kqq+s7grmrYyFdVtWb7n2uB/MFczDC0R2OLAQmkFEV5b/ue+I7/zWp3n5uIb8e8OBBrEvsGRVFSgVeBK1VV9Q32eoYqRVFOBupVVV032GsZRgzAZOBxVVUnAS3IlkuXttf1zCIegBYBKYqi/N/grmr4UeNH7eW4fTcNRGxh2FNP3J6qqsft6vuKolwAnAwcq0o/hs44geJ2X9u33yZ2QVEUI/Eg6kVVVV8b7PUMcdOAU5T/3879u/oUx3Ecf76WSwaTRUkMsholw61rkGRkvCmDP8DCIoNV/gKTUpK4g9FiUQaDYhH5UVySTZlehu9XSpG+w/2cb56P6XSmV6dzOq8+n/c5yQlgO7Azyc22vuj+7D3wvu3Plc47WKT+5hjwuu1ngCR3gSPAzaGplsNmkt1tPyTZDXwaHWgZbFW3GL61l+Q4s+2EU22/jc4zUU+AA0n2J1lhNqC5MTjTpCUJs9mVF22vjc4zdW0vtt3Tdh+z++uhJerv2n4E3iU5OD+1BjwfGGnq3gKHk+yYP59rOJz/rzaA9fnxOnB/YJalsJXdYvgPOZO8BLYBX+anHrc9PzDSJM1XCq4z+9LlRturgyNNWpKjwCPgGb9mfi61fTAu1XJIsgpcaHtydJapS3KI2XD+CvAKONv269hU05XkCnCG2VbLU+Bc2+9jU01LklvAKrAL2AQuA/eA28Be4A1wuu3vA+n/rT9cs4tsUbcYXqQkSZKW1fCtPUmSpGVlkZIkSVqQRUqSJGlBFilJkqQFWaQkSZIWZJGSJElakEVKkiRpQRYpSZKkBf0Arn03xt9S/X8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(seq[:, 0], seq[:, 1])\n",
    "plt.plot(seq[:, 0], seq[:, 1], \"k\", linewidth=0.1)\n",
    "for i, p in enumerate(seq):\n",
    "    plt.annotate(str(i), p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "posterior = gaussian_hmm.fit(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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K1q9fz4YNG0in03z3u9/lkksu4d577+Waa67ht7/9rdGhT6uV4QintgTYHuspj0zZzBaWLmhl7VkrMSkKg4ODdHV1oes6ZrOZQCAw4ULz8bRUEEIIUTmz6128ioRdbsIu91GfK9VDld40Q6HQrFiZ1Ts8zEfu+wW9w0PkikUYGKTO52NJezsAl156KRs2bOCZZ57h1ltvBeAjH/kI69atMzLsGaEoCndddAl3bX+J+1/dgY7OJUuWcXX7mZgOfu+dTmd5T8V8Pk9XV1f59c3NzeX+U4fqGxnmu5uf4/H/3Y3NYuGKttP44pe+dMyWCkIIISpLEikDhUIhCoUC0WgUm81Gc3Oz0SFNyf994jd0DmTIF4sHHmiwg8fF9ffczQ+v+ms2bdrE0qVL2bNnD7///e8577zzeOKJJ1i0aJGxgc+QeouFTyx/G59Y/ra3PNZisRAOh8tfx+NxcrkciqLgdDpxu90M53JcdM/dxIYGy//mt255nnfNW8ALL7wAHN5SQQghROVJImUws9mMqqqMjIygaRputxuPx2N0WBNWKBZ5Yt+ePydRB/k+fDE/+/t/4Lnv3MLChQu58847ueiii1i/fj35fB6bzcaPf/xjg6KuHS0tLeW/DwwM0NnZyYM7XyEei5Gz28ojmqP5PL975WVeP/sc7EPD5ZYKQgghpoei6/pbH1VhK1as0GUJ9tFlMhnS6TRNTU3YD7ZPqAX5YpElt91C4eDPUzYWx2Srx+LxYLdYeOVT6w2OcPb5/K8f5aFXd5CLxUHXqQsfWP0Y+94P8Ovgdzr513/9V1atWsWDDz7IZz/7WRKJBF6vl/b2dn79618bfAdCCFEbFEV5Qdf1oxacyohUlXG73bjdbhKJBIlEgnA4XBM1LhaTibdHVJ6PahR1HZPNhtnRgN6X4j1nLjc6vFklmUwyOjqKL5vHNDyMpakR0yH1Uwv/bj23X7iWt0fU8mNr165l7dq1RoQrhBCzmiRSVapUL1UqOK6FXkv//N7z+fC9dzOcyzMAOOx2vF4f1y07jUQiUfM1YEZJJBJks9ny142NjTQ2NvIJj4d7o/sYzuXKz5kVhRaHk7PCUhclhBAzQab2akA+n6e7uxu73V71HdCHczn+Z9drvLRrFysXL+EvFp1MvcXC0NAQiUQCVVVrYoTNSG9OnJqamqg/RiPX7T3d/N3jvyI6kEHXdd4WivCv7/8ALQ7nTIUrhBCz3vGm9sadSCmKcgdwARDXdb3t4GN+4L+ABcA+4DJd11NvdS5JpCZnZGSE3t7emihI7+7uprW19YjHNU3D5XLNqf0Gj0fXdeLxOIVCgdL/xWO1OjiexPAQ9WYz7nrbdIQphBBz2vESqYnstXcXsOZNj30F2KTr+iJg08GvxTSx2+2o6oG6F03TGBkZMTiiiSvF39HRgRGjoUbTdZ2enh46Ozvp7Oykq6sLv99PKBQiHA4TDocnnEQBNDc4JIkSQggDjLtGStf1pxRFWfCmhy8Czjv4958CTwJfrkBc4jg8Hg8ej6fmCtJLvF4vLpeL/fv309TUVG5CORvpuk4sFqNQKJQfCwQCs66jvRBCzFVT/W0e0HW9++Dfe4DAFM8nJqC5uRld1+nq6kJRlJooSC8xm80sWLCA3t5eBgYGjjoNWIt0Xae7u/uw0bZgMFhTia4QQojxq9jHYl3XdUVRjjlXoyjKtcC1APPmzavUZec8RVEIh8Pk83k0TauJgvRDNTU1MTY2xv79+wkGg8csqq5WxWKRnp4edF0vN8UMBAKSOAkhxBwx1UQqpihKq67r3YqitALxYx2o6/qPgR/DgWLzKV5XvInFYkFVVYaHh9E0DY/Hg9t99L3+qk19fT3z58+nu7sbq9Va1YlgKXEqURSFYDCIyTSRckMhhBCzxVR/+/83cNXBv18FPDzF84kpamhoQFVVisUimqYxOjpqdEjj1trais1mY9++fRTftNXMsdx66620tbWxbNkybrnlFgD6+vpYvXo1ixYtYvXq1aRSb7mQ9JgKhQJdXV3lP/F4nNbWVkKhEKFQiNbWVkmihBBiDhv3O4CiKL8AngdOURQlqijKNcAGYLWiKG8A7zv4tagCXq8XVVXJZDJ0dHSMOzExmtPpZP78+XR2dpJOp4977I4dO7j99tvZsmUL27dv55FHHmH37t1s2LCBVatW8cYbb7Bq1So2bBj/j2U+nz8scUokEoclTsFgsDyFJ4QQQkxk1d7lx3hqVYViEdOgpaWlXJBuMplqoqhbURRUVSWVShGNRolEjt6le+fOnaxcuZKGhgYAzj33XDZu3MjDDz/Mk08+CcBVV13Feeedx7e+9a2jniOXyxGPx8vJkdlsprW1VZIlIYQQ4yJrsOeAUkF6LpdD0zQaGhpobGw0Oqy35PP5cLvd5TYJDofjsOfb2tq44YYbSCaT2O12Hn30UVasWEEsFisnjMFgkFgsVn5NNpslkUiUEyWLxUIoFJLESQghxKRIIjWHWK1WVFVlaGgITdPK/ZyqmdlsZv78+SQSCWJ9fTzSFeXh13diNZn4aNtpfPFLX+L888/H4XDQ3t5+xGq50lYrpT0LrVYr4XB4xu9DCCHE7CSJ1BzkcDhwOBykUik0TaOlpaXq2w74Ghu56ud3sqtjPwWHA8Vi4ebnnuYd6jxeeOEFAL72ta8RCARobGzkpZdeIhAI0NfXRyAQqKkeW0IIIWqHJFJzmM/nw+fzEY/HyWazhEKhql2B9ps9u+kYHqLo8VBIp1EsFkYcDp7cto3fzjsBTzbHvffey+OPP040GuXXv/41X/nKV/jZz37GRRddZHT4QgghZilJpES5IL2zs7NcbF1ttnZ2MpzLAWB2uchqUXLxBKmH/oer7vo5TU4XP/rRj1i4cCFf+cpXuOyyy/jJT37C/Pnzuffeew2OXgghxGwliZQADhSkRyKRqi1Ib3W5qDdbGCvkUUwmrIEWiiOjRD52ORs+fBmXnHFG+djGxkY2bdpkYLRCCCHmiuqcxxGGKRWk22w2NE1jYGBgyuccHR3lrLPO4vTTT2fZsmXceOONAGzatIkzzzyT9vZ23vnOd7J79+5jnmPt4qVYTH9eWWey2bD6vDibmlkAvP7661OOUwghhJgoSaTEUTkcDlRVLe/hNzY2Nulz1dfX88QTT7B9+3a2bdvGY489xubNm/nkJz/J3XffzbZt27jiiiv4+te/fsxzNDY08LOLLyXidmO3WKg3Wzi5sYkH/urjLD/jDPx+P8888wy9vb0Tiq2/v59LL72UxYsXs2TJEp5//nm2b9/O2WefzamnnsqFF15IJpOZ9L0LIYSY3WRqTxxXqSA9FouRzWaJRCIT7rmkKApOpxM40AAzl8uhKAqKopSTlHQ6/ZYr685oDfH7q9axP92P1Wwm7PrzXoLNzc00Nzezc+dO9u/fz9KlS7Hb7W8Z2/r161mzZg33338/2WyW4eFhVq9ezb/8y79w7rnncscdd3DzzTfzT//0TxO6ZyGEEHODouszv3/wihUr9K1bt874dcXUlArSLRYLwWDwuMd2d3cfVrReKBRYvnw5u3fv5tOf/jTf+ta3ePrpp7n44oux2+243W42b95ckY2WR0ZGeOWVV/D7/YTD4WO2dkin07S3t7Nnz57DkkOPx0N/fz+KoqBpGu9///t59dVXpxyXEEKI2qQoygu6rq842nMytSfGrVSQ7vf70TSNvr6+Yx6r6zovdXdx/6s72B7rwWQysW3bNqLRKFu2bGHHjh1897vf5dFHHyUajXL11VfzhS98oSJx2u12VqxYQX19PXv27EHTNPL5/BHH7d27l+bmZq6++mrOOOMM1q1bx9DQEMuWLePhhw/sv33fffehaVpF4hJCCDH7yIiUmLTBwUFSqRQ+n688dQcwMDbGZXfejqYf2ChZ12FpczN3XXQJjro6brrpJux2Oz/84Q/53//9XwA6OjpYs2ZNxUd+MpkMqVQKq9VKoVCgNRTiD11Rouk0dHVz5V98kGeffZaVK1eyfv163G43V155JX/7t39LMpnkQx/6EN/73vdIJpMVjUsIIUTtkBEpMS2cTieqqpLNZtE0rbwdy01PPcEbfUmGczmGczkG+1Ns27ePDc8+xcjICL/5zW9YsmQJ6XSaXbt2AZQfqzS32828efPI5/PkrVbO+/4tXPPzn/KPv3+Cv39hCza/n/blywG49NJLefHFF1m8eDGPP/44L7zwApdffjknnnhixeMSQggxO0ixuZgyv9+P3++np6eHbDbLf7/+GtlCsfzDVUhn6Lj7Hm7WdR70+bnsssu44IILuP3227nkkkswmUz4fD7uuOOOaYlPURTmzZvHR39+F50DGXC7KCSTgELR5eQfH7iPf/7Ly9m0aRNLly4lHo/T0tJCsVjk61//Otddd920xCWEEKL2ydSeqKhiscjCr99IbnCI+kiYwsAAhcwAdeEQVpOJ1z/zeUPiGspmOfPHt5HN5cin05hdLhSzmZHXdjHwy19xos/PwoULufPOO/nZz37GbbfdBsCHP/xhvvnNb054paIQQojZ43hTezIiJSrKZDJxTtupPL19O/lUP0p9HWafj7E9ezln5UrD4iocrNdSzGasfj/5VD8Wn5eGpYsJnX4aD19wMXV1dfh8PtavX8/69esNi1UIIUTtkBopUXFff+9q3A4HzuYmFJOJukKe5hNO4IrwfN544w2KxeKMx+Sut3Gi/8CWN4WhYUyOBgAsJhPvP/kUVFXF6/WiaRqJRGLG4xNCCFGbZGpPTIvX9u7hmVQfryTitLW0sCoYwpwvUCwWGRgYIBgM0tTUNKMxvZqI89EH/ouRZB8Fl5MGqxVvvY2HP/oxGhsayseNjIyQTCZpaGjA7/fPaIxCCCGqz/Gm9iSREtPizQ05S3p6ekgkEtjtdqxWK8Fg8JgNM6dDcniY2598glSdhTOCIS46ZQl2q/Woxw4NDdHX14fT6cTn881YjEIIIaqL1EiJqhEMBmlpaWHPnj309PRgtVpRFOWoSdd0MGezfPbc9+BwON7yWIfDgcPhYGBgAE3T8Hg8Fem8LoQQYvaQGikx40wmEyeddFJ5e5bR0VH279/P4ODgtF97aGhoXEnUoVwuF6qqous6mqYxMDAwTdEJIYSoNZJICcPU19fzzne+E13X6evrI5VK0dHRgRHTzePh8XhQVZV8Po+maQwPDxsdkhBCCINJIiUMt3DhQk466SSSySS6rrN3715SqVTFr5NOpysyNefz+VBVlZGRETRNY3R0tALRCSGEqEWSSImq4HK5aGtrQ9d1zGYzPT097N+/n1wuV7FrDA4O4nK5Kna+xsZGVFUlk8kctkWOEEKIuUMSKVE1LBYLCxYsKK/mM5lMvPLKK8RiMaNDO66WlhZUVSWVSqFpGvl83uiQhBBCzBBJpETVCYVCwIHEavHixaTTabZv3z6lmqTBwUGcTmelQjyqQCCAqqrE43E0TTOk8agQQoiZJe0PRFXy+XyMjo7S09PDSSedxODgIK+99houl4tFixZN+HzpdJpwODwNkR4pFAqh6zpdXV3ouk44HJa9+oQQYpaSESlRtWw2G/Pnz0fTNMxmM2eeeSZut5tnn32WZDJpdHjHpSgK4XCYUChENBqls7OzalcjCiGEmDxJpERVUxSF+fPnMzQ0RG9vL4FAgHPOOYd4PM5zzz1HoVB4y3MMDQ3RcMgWMDPJZDKhqirBYJBoNEp3d7chcQghhJgekkiJaVHp0ZeWlhbq6+vRNA2AJUuWsHLlSrZs2cLOnTuP+9r+/n7Dt3gxm82oqkpTUxPRaJR4PG5oPEIIISpDEilRM1wuF62trezbt49sNovZbObss8+mpaWFZ599tupX9wFYrVYikQgejwdN0+jt7TU6JCGEEFMgiZSYFtNVXF1qkZBIJOjv7wcO9HM655xzyGQybNmy5bDVfSMjI9jt9mmJZSrq6+tRVRWHw4GmafT19RkdkhBCiEmQRErUpHA4jK7rh9UcLVq0iPb2dnbu3Mmrr75KPp+nr68Pv99vYKTHZ7fbUVW1PG1ZSg6FEELUBkmkRM3y+Xz4fD727t1b7tlUV1fH8uXLCQaDbN26tWZWyzkcDlRVxWw2o2kamUzG6O3lL8oAACAASURBVJCEEEKMgyRSoqbZbDYWLFhANBplaGio/Ljf76e9vR1FUXj55ZdJJBIGRjl+LpcLVVXRdR1N0xgcHDQ6JCGEEMchiZSoeYqiMG/evHKLhJJkMsnb3vY2FixYQDKZZM+ePaTTaQMjHT+Px4OqqmSzWTRNm1JXdyGEENNHEikxa5RaJHR0dBz2uNvtZvHixdhstvL2LSMjIwZFOTF+vx9VVRkeHkbTNEZHR40OSQghxCFkixgxq7hcLux2O7t27TqiCWcoFGJ0dJR4PE48HsdkMhEKhTCbzQZFO35NTU0AxONxEokEgUCAuro6g6MSQgghI1Ji1rFYLDgcDhRFOWIVnM1mY968eeUkKxaL0dXVZUSYk9LS0oKqqvT19aFpGvl83uiQhBBiTpNESsxa4XCYYrF41G1ZmpubCYVC5PP5cuuBWmqOGQwGUVWVRCKBpmnlVYtCCCFmliRSYtbJ5/Pl6Tq/34/X6z2sRUKJ2Wxm3rx5mM1misUiNput5loPtLa2EolE6OrqIhqN1kSrByGEmE0kkRKzTiwWIxAIlL+22+0sWLCAjo6Ow1oklHi9XubNm0d/fz92u51isVhThd2KohCJRAiFQkSjUbq6uiShEkKIGSKJlJiV3rxFjaIoLFiw4IgWCYc+H4lEsNvtZDIZmpubyWQyaJpGoVCYqbCnxGQyoaoqgUCAaDR61ClNIYQQlSWJlJhVisXicff5K7VI0DTtqM87HA7mzZtHOp2mUCgQiUTo6empqYJ0s9mMqqo0NTWhaRrxeNzokIQQYtaS9gdiVunp6aG1tfW4x5RaJOzdu5dwOHzUNgKBQKDcDNPn82G329E0DbvdXm5FUO2sViuqqjI2NlZzsQshRK2QESkxq+i6ftwRqRKLxcIJJ5xAPB4/5kbBdXV1zJs3j1wuR1dXF5FIhIaGhporSK+vr0dV1XLsfX19RockhBCzhiRSYtYYbxJ1qEgkcswWCSWl7uKlAnRVVWuuIB2goaEBVVXLU5vHSiCFEEKMnyRSYtbo7u4mGAxO+HXHa5FQUtrPz2q1sn///nJSkslk6OjoGFcfp9HRUc466yxOP/10li1bxo033gjAu971Ltrb22lvbycUCnHxxRdP+B4mwuFwoKoqJpOp5kbXhBCi2kiNlJg1dF3HZJrcZ4NSi4T9+/fT3NyMw+E46nEulwuXy0VXVxdms5lAIICu63R1dWEymY5bn1VfX88TTzyB0+kkl8vxzne+kw984AM8/fTT5WMuueQSLrrookndw0S53W7cbjfpdJpoNIrX68XpdM7ItYUQYraQESkxK1Sib1KpRcLg4OBbdjkPhUJ4PB46OjoYHh4mHA6XV8klk8ljnr+UqORyOXK53GFTkZlMhieeeGLaR6TezOPxEIlEysX1w8PDM3p9IYSoZZJIiVkhFotNalrvaAKBwHFbJJSU9u0bGRkhGo1isVhQVbXcIX1gYOCI1xQKBdrb22lpaWH16tWsXLmy/NxDDz3EqlWrcLvdFbmPiSrVgg0PD9dc/ZcQQhhFpvbErFAoFMrbwlTCeFoklDQ1NVEoFHjjjTe4/PLLyefz5PN5PvjBD/LZz36WzS+9yDdu/AfyuRzLly9n69atDA4OsnbtWnbs2EFbWxsAv/jFL1i3bl3F7mGySi0S4vE4iUSCQCBw3PsXQoi5TBIpIY6h1CIhGo3idDrxer3HPNZsNrNo0SL++7//m3w+TyAQ4G3veAdP2qy8+L1/o/Wqj/Gec8+l6Y8v8tOf/pRrrrmG97znPTz22GO0tbXR29vLli1bePDBB2fwDo+vpaUFONCbK5fL0draisUivzKEEOJQMrUnal4sFiu/6U+H8bRIgAM1UOFwmPnz5/PS66/zRqyH6OAAisWKZeEJPPmHP/DrVB8PPPAAIyMj/OY3v2Hx4sUA3H///VxwwQXYbLZpu4/JCgaDqKpKPB5H07RxrVAUQoi5Qj5eipqXz+exWq3Teg2/38/IyAh79+5l/vz5x1wdWCgUWL58OTt37cLx9rMwuZzohQJZLYpiNvPaf/wnu3I5zjzzTC6//HIuuOACAO655x6+8pWvTOs9TFUoFELXdTo7OwEIh8MT7tslhBCzjSRSQozTsVok7En1oaXTnNzYRKvLxbZt2/jk/f/FXV+9gYaxLE0f+TC9920EXcf3rnNw7t3PH//4R1KpFIODgzidTp588kljb26cSps7F4tFOjs7MZlMhEIho8MSQgjDSCIlaloikZjR/eNKLRJisRi96TQ3bH6WF3u6sJpMZAsF/mLRKXzrfe/nnJNP4YFTFjHy2ut43nseDW1LKQwOkt+1mxMVM06nE6fTSV9fH5qm1VxBt8lkIhKJkM/n0TQNq9VasVWTQghRS6RGStS0bDZLfX39jF83EAhw8x+e5/lXdjCazzOQzTKcTvPIn7Zx+wt/ZM38ExjdtZv6YIDCwTYIdocTXtrO5z/9aaLRKN3d3fh8PlRVJZVKoWlaRfphzaRSywe/34+macTjcaNDEkKIGSUjUkJMQrZQ4LedGkWng3yyD4vHTSGdYd/d9/DFW27jNq+XT/3lRzG/59385FvfJvPyDlzWOq5fv54PfvCDwIHarlK9USAQwGKx0NnZicViqbnRnbq6OlRVZXR0lGg0is1mm9GRQiGEMIokUqJmJZNJGhsbDbl2rlCgoOsoZjMWv498X4q6cIjw9V/AYa3j5U9+tnzsN967+qjnsFgsRCIR4MDKw1wuh9vtLjf0dDgc+P3+GbmfSrHZbEQikXJTz1q8ByGEmAiZ2hM1a3R01LB2AY66Ok7wHegrVchksHg9AJgUhXPUeRM+XyAQIBKJoOs68Xic+vp66urq0DSNwcHBisY+E0qbOtfV1RGNRunv7zc6JCGEmBaSSAkxSf/83vOxWyyYD45M1ZnNOOvq+Mo73z3pc5b2vfN4POXkY2RkBE3TyGazlQp9xjidTiKRCCaTCU3TyGQyRockhBAVVZGpPUVRPg+sA3TgZeBqXddloy4xbfr6+vD5fIbGsCIU5q73reGhfXvYO5DhjNYQV51+Bi0O55TPXV9fXx6h6unpKScidXV1RCKRmuvf5Ha7cbvd9Pf3o2kaPp+vvIGzEELUsiknUoqihIG/BZbquj6iKMq9wEeBu6Z6biGOZWRkpCpqb4L2Br5x/gem7fyKotDa2gocSB4HBwfZvn07ra2tBAKBabvudPF6vXi93nLbh8bGRhoaGowOSwghJq1SU3sWwK4oigVoALoqdF4hqlYymZzRZM7v9zNv3jxOOeUUhoaG2Lx5M319fTN2/Ury+/2oqlouSh8bGzM6JCGEmJQpJ1K6rncC/wJ0AN1AWtf1x6d6XiGOJZ1O4/F4jA6D4eHhcnfzmWS321m4cCFnnXUW8Xic559/nmQyOeNxVEJTUxOqqpJOp4lGo+RyOaNDEkKICZlyIqUoig+4CDgBCAEORVE+dpTjrlUUZauiKFsTicRULyvmsNK2KkZKp9O43W5DYzCZTCxevJizzz6b3t5enn/++ZptiNnS0kIkEiGZTNLR0UGhUDA6JCGEGJdKTO29D9ir63pC1/UcsBF4x5sP0nX9x7qur9B1fUVzc3MFLiuEcTKZTFWMipWccsopnH322WQyGTZv3kxXV1fNdUkHCAaDqKpKLBZD0zSKxaLRIQkhxHFVYtVeB/B2RVEagBFgFbC1AucV4ggDAwO4XC5DYxgcHDRkSm88TjrpJBYuXEhHRwcvvfQSLS0ttLS01NQ+foqiEAqF0HW9nBCGw+GaW6kohJgbKlEj9QfgfuBFDrQ+MAE/nup5hTiaTCZj+JRaKpWqihWDx2IymViwYAFLly5F13X27t1LNBqtuR5OiqIQDocJhUJEo1G6umQNixCi+lSkj5Su6zcCN1biXEJUMyO7qU+UzWZDVVUGBgbo7+9naGiITCaD1WqtqdYJJpMJVVXJ5/PlXlq1FL8QYnaTzuaiZlTDlFoikaDWavxcLld5uxZd13G5XHR2dhKNRmuqqNtisaCqKj6fD03TarawXggxu0giJWpGOp3G6/Uadv1cLofFUrv7fDc2NpZbDZTqjmKxGNFotKb286urq0NVVdxuN5qm1WzrByHE7CCJlBDj1NPTU+4yXstaW1vLdUcWi4VIJEIulyMajdLb22t0eONWmrq02+1omlazzUmFELVNEilRE4aHh7Hb7YZdv1gszqpVY6W6o9KojqIoRCIRHA4H0WiUaDRaM+0TGhoaylOXmqaRTqeNDkkIMYdIIiVqgtEr5To7OwmHw4Zdf7qURnVKmyLruk4kEiEcDtPV1UU0GmVkZMToMMfF6XSiqiqKoqBpWs2tUhRC1CZJpIR4C7quo+v6rBqRejO3233Y3neFQoFwOEwkEmFoaIhoNEoqlTI6zHEp3UuxWETTNIaGhowOSQgxi9Vu5ayYM4xuOdDd3U0oFDLs+jOpqakJoNwIMxQKlR8bHBwkGo1iMplobW2t+sTS6/Xi9Xrp6+sjlUrR2Nho6PSwEGJ2kkRKVL1kMmnotFqhUKjp1XqTEQqFKBQKRKNRbDYbzc3NOJ1OnE4nhUKBzs5OgJromu73+/H7/fT29tLb20tLSwv19fVGhyWEmCXm1ruDEBMUi8VoaWkxOgxDmM1mVFVlZGQETdNwu914PB7MZjORSAQ48O+Ty+Vwu92Gd5x/K6WRtVgsRjabJRgMYrVaDY5KCFHrpEZKVLVsNmvoiEc2m53zoxd2ux1VVQHQNO2w4vNAIFBOqqLRKLFYzJAYJyIQCKCqKslkslwPJoQQkyUjUqKqJRIJw6b1kslkVe+pN9M8Hg8ej4dEIkFvby+hUAiz2QxQHpHKZrPl1gmtra1VPSUaDAbRdZ3u7u5ycb3JJJ8thRATU72/5YQw2PDwMI2NjUaHUXVKW+SUCtIPTXTr6uqIRCLouk5PTw+FQgGv14vT6TQq3ONSFIVQKISu6+VNkUOhUNUX0gshqockUqJqGbklS39/Px6Px5Br14pQKFTeSNhut5drkOBAglLqAp9KpcpF64ceU00URSEcDlMsFolGo5jN5jmzUlMIMTUyji2qVjweN6zQe2BgoOqLp6tBaSNhh8NxzK7iPp/viK7pxWLRgGjfWqnje0tLC5qm1UTNlxDCWDIiJaqaEVMsg4ODOByOGb9uLSsVpKfTaTRNo6mp6YieTXa7vTztV5oWrNbeTqUEMZvNomka9fX1c3b1phDi+GRESlSlQqFgWOGv0dvR1DKPx4OqqgwODtLR0XHUFXGlabRDu6ZX64bDdXV1h+1JmEwmjQ5JCFFlZERKVKWenh5DalSM7qI+WzQ3N5dHnkoF3UdTqpkqJVTV2jW9tCfh8PAw0WgUh8OBz+czOiwhRBWQREpULSPeTBOJRLlnkpia0shTqSC9oaHhmKsgHQ4HDofjsK7pzc3NVdfDq6GhgYaGBgYHBw9rUiqEmLskkRJVp1gsGpJEGblKcDYr1RuVNkT2eDzHLOQ/tGt6PB4nm83icrmqLlkpbZeTyWSIRqN4PB5cLpfRYQkhDCA1UqLq9PT0lJfOz4XrzhUNDQ2oqkqxWETTNEZHR497fEtLC5FIBEVR0DSNnp6eGYp0/NxuN5FIhEKhgKZpDA0NGR2SEGKGycdvMS10XZ/Sa2d6RMqoUbC5yOv14vV6icfj5c71x1tYUAtd00v3lEwm6evrO+qqRSHE7FQ9v4mEYGoJ2FR0dnaWp5TEzGhpaUHXdTo7OzGbzW85Gljqmg6Ut3Wptq7pjY2NNDY20tvbS29vLy0tLVVX5yWEqCxJpMS0mOzojhHTa7quGzIKJg78nEQiEXK53FsWpB/qzV3T6+vry1vXVIPSasRYLEY2myUYDGK1Wg2OSggxHSSRElWlWCzOeP+orq4uwzZGFgdYrVZUVWVoaAhN0/B6veMq3vb5fPh8PkZHR4lGo8CBrWuqZfPhQCAAHPiAkMvlDtvoWQgxO0giJaqGUdN6xWJR3tyqRKkNQiqVQtO0cU+N2Wy2qu6aHgwGy7EVi8VyEb0QovZJIiWqRiwWK3+Cn8lrytYf1ac00hSPxxkbG3vLgvSSUu8qgGQySTKZpKGhoSo61ZdiKyVUcGD0TBIqIWqbJFKiahQKhRlfiZXNZqUYuIpNtCD9UKVaq2rrml5KqIrFItFoFIvFIm03hKhhkkiJOau3t7cqRirE8U22IL2kWrumm0wmVFUtd36vq6ub8RFZIcTUSSIlqkIikZjxKbaRkZHy6ipR/SZbkF7y5q7pY2NjuFwuvF7vdIU8LqXO76U+WdW2AlEIcXzVsbRFzHnZbHZGl4f39/dX3bYjYnwcDsdhIzljY2MTPkdLSwuqqmIymYhGo1XRNb3UJ8vlcqFpGslk0uiQhBDjICNSYk4aGBiQzYlrXKkgvdSraTIr4Upd03O5XLl9QjAYNLRrus1mO2zkzel04vP5DItHCHF8kkgJw/X29s7oFNvg4GBVdcMWUxMIBMoF6RaLhWAwOOFzWK3WI7qmG70Rcam2a3BwEE3TcLvdMooqRBWSqT1huLGxsRkt/E2lUvIJf5YpFaT7/X40TaOvr2/S52ptbS1vRByNRkkkEhWMdOKcTieqqqIoCtFolIGBAUPjEUIcThIpMaeMjo5is9mMDkNMk7q6OlRVpa6uDk3TGBwcnPS5vF5vuWYpGo0SjUYpFosVjHZi3G43kUikXBs2NDRkWCxCiD+TREoYKplMzmgLgkQiISui5oDSKE42m0XTNLLZ7KTPVeqaHg6H6enpIRqNMjw8XMFoJ8bn86GqKqOjo2iaxsjIiGGxCCEkkRIGGx0dnbFtPHK5nKFFxGLm+f1+VFUtb248lW2IFEUhFAoRiUQYGRkhGo1OaQpxqhobG1FVtVxDNZnVi0KIqZN3FTFn9PT0yEq9OapUkB6NRivS+PLNXdNLSZYRXdNLI6yl1YvBYHBGW4kIMddJIiUM09/fP2PNEIvFouFbgwhjKYqCqqqMjY1VrK1AaWVdsViks7MTXdfHvdFypZWSw+7ubvL5PKFQSDbjFmIGyNSeMMzQ0BAOh2NGrtXZ2VnezFbMbfX19aiqitVqnXJBeonJZCISiaCqKul0mmg0Sn9/fwWinbjSqsNYLIamaVOaznwrt956K21tbSxbtoxbbrkFgO3bt3P22Wdz6qmncuGFF5LJZKbt+mLq/vqv/5qWlhba2trKj8n3cGIkkRKznq7r6LouI1LiMJUsSD9US0sLkUgEk8mEpmmGdE0/tJ6rs7OzPFpWSTt27OD2229ny5YtbN++nUceeYTdu3ezbt06NmzYwMsvv8zatWu5+eabK3pdUVkf//jHeeyxxw57TL6HEyOJlDBEOp3G7XbPyLW6urpkNEocU6kgva+vr6IjOG63G1VVaWxsLLdPyOVyFTn3eJX6awWDQTo7Oyua1O3cuZOVK1fS0NCAxWLh3HPPZePGjezatYt3v/vdAKxevZoHHnigYtcUlffud7/7iJXT4/keLliwgFNPPZX29nZWrFgBQF9fH6tXr2bRokWsXr2aVCo1/TdQBSSREoYYHBycsa7RxWJRakXEWwoGg4TDYTo7O4nH4xU7b6lreiQSIZlMGtJUs7Rhc2NjI5qmEYvFpnzOtrY2nn76aZLJJMPDwzz66KNomsayZct4+OGHAbjvvvvQNG3K1xIza7zfw9/97nds27aNrVu3ArBhwwZWrVrFG2+8wapVq9iwYQP9/f1ceumlLF68mCVLlvD888/PuoRLEikxq8ViMVpaWowOQ9SIUq2Tx+NB07SK/4IPBoOGdk23Wq2oqorX60XTNHp7eyd8Dr3Yhz72HIsX2fnyl7/M+eefz5o1a2hvb8dsNnPHHXfwgx/8gOXLlzMwMEBdXd003ImYCr3Qgz58D/rw/ejFI1t4TPZ7+PDDD3PVVVcBcNVVV/HQQw+xfv161qxZw2uvvcb27dtZsmTJUROuWqZMZyHisaxYsUIvZbBiduru7qa1tfWozw0MDFAsFmdk3zBN06TlgZi0gYEB+vv78fv907IwYnR0lN7eXnRdJxwOYzLN7GfbkZERkskkdru93NLhWHRdRx/YAMP/CUod6DmwtqH4fohicvO1r32NSCTCpz71qfJrdu3axcc+9jG2bNky3bciDtI0jb/6q78iFouhKArXXnst69evZ/v27Vx33XUMZqLMD6f5j9vm4XabQS+yr/8LfOjS77Bjx44jznes7+EJJ5yAz+dDURQ+8YlPcO211+L1esuLLHRdx+v14vf72bNnz2E1qqeccgpPPvkkra2tdHd3c9555/H6669P7z/MFCmK8oKu6yuO9pyMSIkZl8lkZiSJ6u3tfcs3ByGOx+VyHdZFvNI1TqWu6ZFIxJCu6Xa7nUgkgs1me8sROH3kARi+BxgDfQAYJd79Anr6ejo6Oti4cSNXXHFFeVq0WCzy9a9/neuuu25mbkYAYLFY+M53vsOrr77K5s2bue2223j11VdZt24d3/zGZ9m+ycvFH7DzLz/oBn0EGIOBDUChfI6jfQ91XUcvxNCLB1bwPfPMM7z44ov86le/4rbbbuOpp546LA5FUSgWizQ3N3P11VdzxhlnsG7dOoaGhojFYuUP2sFgsCJTzUaSRErMWiMjIzQ0NBgdhpgFSl3Ee3t7p9wh/WiO1jU9mUxW9BrH43A4UFUVi8VCNBolnU4fedDwncDh29F85JoO2lbexYUXfpDbbrsNr9fLL37xC04++WQWL15MKBTi6quvnpmbEMCB9hdnnnkmcOCDwJIlS+js7GTXrl28a0UcKLD63Q1s/OWBth9XfLKbcy7Yw+uvv0EkEuEnP/nJEd/Dj1+xFD3xXvTE+9DjZ1Psu4ZQ64EdKVpaWli7di1btmwhEAjQ1dWFnn2Jrv/9CX6fkxdffJFPfvKTvPTSSzgcjiOm8RRFqfkV1TK1J6bFsab2hoaGyGazU26E+Fb6+/sxmUwztjJQzB2l5pv19fXTWn83PDxMX1+fIV3T0+k0mUwGr9dbXhRSjL8TigdGKgaHivSnC7Q0Wairs6M0P4ZiDs1YfOLoCoUCK1asIBwO88gjj7B3715OP/10Wlpa6Orq4vKPnMrt30rzjVsSbPheioE9Jx18pQ3F/WWUhiuPOKee34/e+yEOTaKHhk0UTSfinv8Iw8PDrF69mr//+7/nt799lEb7Jr78GSvf+n4MrTPHo5tG2LsvgWJq4Omnn2bDhg3s3r1bpvaEmKx0Oj3tSRQcqG2RJEpMB5PJhKqquN1uNE2btsabDQ0NRCIRWltb6ezsRNM0RkdHp+Vab+bxeFBVlXw+/+fpxvp3AQdWvzodJiIhK6l0gWhPPWO56f8/Ld7aLbfcwpIlS4ADK6Pf8573cOaZZ7Jr1y5efPFF3tiT5/T37GN4WKeu7tDEXIf69x71nPrw3cDhU9qxxBjv/uATtJ++mLPOOosPfvCDrFmzhi9/qshvn9zHKWe/yqan0tx0vQe1FV576asAbNq0iaVLl/KhD32In/70pwD89Kc/5aKLLqr4v8VMkhEpMS2ONSI1Ex3GBwcHyeVyM5KwCZHJZEin0zQ2Nk77VHI8HiebzeJ0OmdseyWAZDLJ0MA+GrkOu20EyHLgc3gdivdWEpllZLNZmpubDdkeZ67Tx/6A9voNXP3p5/jq5+bxrz+2UCDEzp2v8cQTT3DSSScRj8cpFAoEHHfwzO/u4O9u7OQPj50AWMG1HpPjmqOeu9j3N5D9PQB79udYOP/gPo6KE8WzAcV2/oEY9CJ67FTenHRt2zHGtX+XIKufxMKFC7nzzjspFotcdtlldHR0MH/+fO69994jellVm+ONSMlee2LGjIyMYLPZpv06qVRKVuqJGeN2u3G73fT29pJMJmltbcVimZ5fraWpxIGBAaLRKBaLhWAwOC3XOlRjYyONjY3Ee/6DZP9/0uJ5lTr7CSiOq1GsS2g5+N86kUgwNjZGU1PTjPxfF6DnXkZP/Q2f/9peNvzfJjKDA/zpT3EuWeth69Yhfv7zn/Pggw/i9/u5/fbbCQS+yq13/Y5P/M2Z4HgHiu0CFOuiY1+g7izI/oGhg4sgBoeKOB2mg6s2lx0aCaWC9c7uPGNZnYXzrbS31bPl1ydiCv7psNNu2rSpwv8SxpFESsyYvr6+aR+NmqlkTYg3a2pqAg500i8Wi4TD4Wmra3K5XLhcrvLUGxzYtNhqtU7L9UpagqdA8B+JxWJkB7K0OlsPexNpbm4GDqyYLa2atdvtU77um2t/3vWud5Wbmsbjcc466yweeuihKV+n1uiFbvT0P/HIb3ppaTKz/HQb3//3FJ09eX735AukUll+9KMfcccdd3D//fdz2mmnEQqFWLt2Ldd86uZx/XwqDZehD99Fsm+EhfOtdMfyOB0OsH8Axfzn3+eKYqZoOZP9ezczPFxg6SmlkUnTwWnh2UsSKTGr9Pb2ymiUMFQoFCo33LTZbOXkYjpYLBYikQgAPT095PN5PB7PtO8aEAgEgANT+Pl8/ogeWKWksjRK5/f7pzTteeutt7JkyZLy5rlPP/10+blLLrmk5mtsJkrXR9H7Pw9jTwM5ntsyyv88PsT/PL6HXA7sNoWFC2xkCyF+9dgmTjjhBD7wgQ/wwAMP8OSTT07od6Ri8tCT+xGBeXcDT4HZAq51RxSmj46O0pX6BDbbK7Q0Fjgw/WsDpQHFfUMlb7/qSLG5mBFjY2PTXjuRy+Wm/RO5EONhNptRVRWXyzWtBemHenPX9Epuc3Msra2th/XAenPNbVNT02EtHSbTIysajfLLX/6SdevWHfFcJpPhiSee4OKLLz7iue9+97ssW7aMtrY2Lr/8ckZHR/n4xz/OCSecQHt7O+3t7Wzbtm3C8VQDPfN1GHuGA8mKzje+1siTD0bY9dwCbrrez1ln2Nh4h8pFF6/ld7/7HQC///3vOfHEYFCmdQAAIABJREFUEyfcw29sbAzF3IS95ZuYWp5F8f8Ck+P/oCh/Th9SqRSpVIrwvLeD/x4aWj4HtovA9QWU5scPG7majSSREjOit7e3/Cl1uvT09MxIvYgQ42Wz2VBVFZPJhKZpM9Js0+v1lre5KW2WXCwWp+16pfYMpX0KOzs7j0ioGhsbiUQijI6OEo1GGRoaGvf5P/e5z/Htb3/7qF3fH3roIVatWnXECt3Ozk6+973vsXXrVnbs2EGhUOCee+4B4Oabb2bbtm1s27aN9vb2SdyxsXQ9ByMPA2MA5HI6ezvyOBoU+vqLLDqxDrvdwr7EX/CFL1zPAw/8/+ydeXwU9fnH37NXstnNfSe7STiEIOE+VcR6gFgVBRRFabG1RVq1nqAVz9bqz16IrVarrYrU+6xHQa0oKCKCIkVBBHPsZpO97/uY3x/rjsSEQEjCIfN+vXi9wu7Md74zm8w+8zyf7+d5gREjRvDrX/+au+++m3/84x+dAkxRFFm6dClDhgxh2LBh3HfffdLx9nVftVgsCIJAZWUl7e3tVFUPQ6H/GYqCP6DQXYKg+P6vnpZLezLfC1Kp1BFv6ibz/eVgCtIzZGVlYTAYEEWRtrY2UqlUr0ts3SEIgpQRa21t7VIIX1RURFFRkZTBKCgoQK/XdxpLjH2CGFnFa6t2UlqiYty4cbz77rudtnvqqae6zFQBJBIJwuEwarWaUChEVdXh6XOVTCYJBAJScCkIQreGr2IqiOgIAynMbQnC4RQDatTk5yrIzlZQVVnKD6bfgqD7OW1t7Tz++OOUlJQQDAZpbGxk0aJFfPHFF2i1WubOncvTTz+NKIqYTCZ27NiBQqGQspl2u32vD8DJZJKWlhaqqqrIysrCZrP1axn7cEYOpGT6nVgs1u8lt9bWVkkrIiNzuLKnIF0UxYNitJnJGEF6wYfL5dqv3noHilKpxGAwEI/HMZlMaDQaSVOVobCwkMLCQtxuN2azuYOuK+X7LYSfBzHC+nUOXv23j//8p5hIVI3P52P+/PmsXLkSh8PBxo0beemllzrNobq6muuvv56amhq0Wi3Tp09n+vTpPPnkkyxdupTf/OY3UrPcnkoOvhv4wL6Dn+5QKpXodDoqKir2u9diQj2AL7bvJBBMMaJeQ2mJChBAcxKKor9L21VVVREIBGhqakIQBAoLC7sMMG+++WaefPJJ6fhlZWUkEgnJ0uK7BAIBXC4XAwYMANLlv2QyedR2kpB9pGT6hT19pPrbO0oURcxmsywylzmiSCaTWCyWfhekd8XBdE2PRqPYbLZuz9Pj8aRNdHPM5MYvA75rPJrFe5/fwp+WreC1114D4MEHH+TDDz+UjB3F+JeI4VdAjOKJHMd58+7imWeeITc3lzlz5jBjxgymTJlCWVkZsViMG264gdraWq655hrpKN8NiLoKkJRKJXq9npycnEOSBfd6vXy26Smy439izAgFSqUIqEDIRih+FkE1uNM+0WiUrVu3MmTIEB577DGWLl0qBZj/+te/KC4u5tprr+Wll16itLSU++67D41GQ21tbaexMiXqoUOHSq81Nzd3ue33CdlHSuZ7jcViOWzT9jIyeyMjSA+Hw5hMJvLy8g5KM29Iu6bn5ORI7W6AfvN+ysrKks7TbDaTk5PTyXyxoKCAgoICXKYnMNuD5OWCLkdBmzWBQiEACpzt7xONRrFYLACsWLGCK664gra2NpLBpyDwMBBHEEReffMhygpzicVieL1ezj33XD755BOuvPJK6Zi//OUv+eMf/3hE3Tuampr4+uuvGThoBrXVpyAGH4bEblCPRtBf2qWoW0z5aG96lHFD/TSatvDss0/T2NhIQUEB559/PitXriQajZKdnc2mTZt48cUX+fGPf8zq1as7jvNN+a+oqKhDWdpqtfZrq6QjATmQkulXEokESqWyX4+RSqX6/RgyMv2FVqvFaDTi9XoxmUyUlJT0iffS/qBQKKSSuM1mw263k5ub2y+u6VqtFoPBQDAYxGQyodfrO3UfKCjIp0CdhdcXpc2awB8Q0eWAoUrDnCEncN7F34qg169fD4CYtCLa/wn6JJn1U6OGK/jLI40U6HaTk38i77//PuPHj5cy5aIo8vLLL9PQ0NDn59kfhEIhPv/8c1KpFOPGjZMCbqHgD93uJ8a/Ium4ECEYglCSTetjHFMTI+BvQ6/XM3v2bNavX4/BYGD27NkAnHvuuVxyySUdBPzRaJS2tjaMRiNKpVLy8IpGo6RSqYP2+3q4IgdSMv2K1Wrt1ye+9vb2TvoLGZkjkfz8fPLz8yUzy6qqqoP6gPBd13SlUtllm6feotPp0Ol0+P1+TCYT+fn50pe2oD0TMfgg+XlK8vOU+PxJvL4U27+KUDDgWAxGsXM5LboOBCWIkEqJtFmTGKtUTP+BllHjZqHWlDFq1CguvvhiZs+ejdPpRBRFRo8ezYMPPtjn59fXNDU14XQ6KSgooKqqCp1Ot9/7it4ltFrcGKqUgEBNdYqPP3FRqn0Gj+cKXn/9daZMmUJeXh5r1qxhwIABPPfccx3Kdh6Ph1AoRF1d3bfjflPubGtr6/D60YqskZLpFzJPfv2tjzKZTLI2SuZ7hyiK0rLyQ1V6SiQStLe3A/3rmu71evH5fBQWFqLX60kFnwb/70BQgCgASfyKO/BGxks9Dfe8JmL434i+23C7ffgDKYzVqm+0TQLJrEtI5VxDIpEgmUySSCSkn/uC7kTmPXlvz/9nfo7H43z88cfU1NSQSCSk1XFAp20zP+/5HmIA0XEmJksUY5WKXL0CvU7B7X9w8uy/Q6iyBjFixAjuuOMOioqKWLBgAU1NTeTk5PDII48watQoLBYLWq22U+bQYrGgVCrJy8s7arJR3Wmk+iSQEgShAHgEaCDdcOenoih+uLft5UDq+09bWxvl5eVYrdZ+eaqFtDdVRushI/N9JJFI0NbWhlar7Xcftu7IuKZnbBz6A7fbTTAYpKioCG1WCKLvpTNNWScjKNKlLL/fj9PpxOfzUV5eTnl5Oamkj+ZPJpGfF6Mgf88MXjZC8XMI6qFdH/AwprGxkfb2dsaPH09LSwt1dXU9zk6KqQCtW8dQVgIqlYCpNY6hKh1koihDUfa+tG2m1Orz+aitrSWVStHc3ExlZWWXurnGxka0Wu1R5dvXXSDVV4acy4FVoijWA6OA7X00rswRTH8bZIbDYTmIkvleo1KpMBqN5OTkYDKZpBYpB5uMa3pmhWx/uKYXFhZKLuitbRGiijMRtOdKQRSkewzW1dUxcOBAAoEAa9eu5dMtX1E74gEK8vUg6EDQAhrIveaIC6ISiQTvv/8+arWacePG0draysCBAw+oxCso9CSVIyRheHWlCkt7EsgC7ewO2xqNRqlHZDAYxGw2U1dXt9fFB7LAvCO9zkgJgpAPbAEGivs5mJyR+v6TMQDsr7Kex+NBoVD029OxjMzhSMYmoLS09JA2545Go9jtdiDdJqY/tFx2u51IJEJ5eTkajabDe5kVZAqFgnA4TCgUoroqn2L9VhBjkDUVQXlkfdF//fXXWK1WJk+eLNlT9Ea2YLfb0WkDZId+AqIXxDgWq0h5ZQOq0scRhG9/f4LBIKFQiFQqRUtLC8cee+xetVhWqxWdTkcgEJAzUt/QF2LzAYAdeFQQhFHAZuAqURT3vweAzPcOUexCFNqH+P1+WRslc9SRsQmw2+3Y7faDLkjP0JVremFhYY+E0Psi4zlltVqJx+NUVFSgUqnw+Xy43W6p9Q4gZVHMrTXU1dVRkNP3qw77i1AoxNatWzEYDBx33HF4vV5CoVCv72+RSITS0gGIurfTgvykieqi4ZjaS6kROgbhDodDMuycMGECdrsdn8/XSZaRaSeTKQPKpOmLjNR4YANwgiiKHwmCsBzwiaJ4y3e2WwgsBKipqRnX3Nzcq+PKHN5s3ryZMWPG7LdTb08IBALE4/FOAkgZmaOJw0GQvicul4tgMNhveq62tjYaGxsZMmTIXscPhUI0NTURjUYZNGjQYZ+x3r17N263m5EjR6LRaHC5XCSTyV4btHaXsbfZbOTl5VFfX09ubq7UXmvLli289NJL3H777Wzfvp1169ZRXV1NVVWVlBHc03jzaPPv62+NlBkwi6L40Tf/fx4Y+92NRFH8uyiK40VRHH+09uM52uiPIArSolQ5iJI52hEEgerqasrKyjCZTDgcjkM6n6KiIknPlWmW3Ferwv1+P9FolEmTJhGNRvc6dk5ODsceeyz19fW0tLTwySefEAgE+mQOfYnH42Hz5s1kZ2czfvx4NBoNNpsNQRD6xOXe7/fvNYgsKyuTyrLPPvssTzzxBNu2bUOlUtHQ0MCLL77I1KlTycrKoq6uDrvdjtPplK1muqHX33SiKLYDJkEQMqq+U4EvejuuzJGLKIp9dgP9LuFw+JBqQ2RkDjcOF0F6hpycHAwGA1VVVbS2tmIymYhEvtvyZf8xm83EYjFp5Vp1dTXV1dW0trbS2tra5b1Gq9XS0NDAsGHD+Prrr/nkk08Ih8O9Oa0+IZlM0tjYSHNzM/X19ZKGdG82AwdCMBjc5yIcnU4n2VuMHftt3mPYsGEdPKQg3bcwo53qSV9Ck8nEySefzLHHHsvw4cNZvnw5AFu2bGHy5MmMHj2a8ePHs3Hjxh6c3eFJXxlyXgn8SxAEDfA18JM+GlfmCMRqtfabCNHhcMjaKBmZLshYgXg8Hkwm0yEXpO/pmp7RdHXlZr43AoEADocDg8HQoSUJpLNxBoOBZDKJ2WxGpVJ1abOi1WoZOXIkkUiEHTt2kEqlGD58eI8bFfcFmWuQm5vLyJEjJQ1pS0sLpaWlfebHtC+ReiqVwuv1kkqluOaaa1AqlVx22WUsXLhwr/uEQiEmTJhAS0sLRUVFUoPp7lCpVPzpT39i7Nix+P1+xo0bx7Rp01iyZAm33XYbZ5xxBm+88QZLlizh3XffPZBTPWzok0BKFMUtQJe1Q5mjj2Qy2S8C2Hg83m+mgDIy3xcygnSbzYbNZsNgMPRbmX1/yZSrAoGA5JpeUVGx1wUpra2taDSafbpmZ/oVxuNxzGYzGo2my2X52dnZjB49mmg0yrZt2wAYOXLkQbmfhMNhaQViVVWV1H5HFEUaGxsxGo19No9YLNblWKKYQgytIGh7GLvDiaF2PP96/C7GTDiXWCzGtGnTqK+vZ+rUqZ32zZT0BEGgtrYWp9MpfT6xWKzTisoMlZWVUnCbm5vLsGHDaG1tRRAEKWvq9Xq/FzoruUWMzBFDe3u7nI2SkdlPysrKJEG6QqHoN2PcnqDX69Hr9SQSCalZ8p6u6aFQCLvdTmVl5V6/oLtCrVZjMBiIRqOYTKa9Ct6zsrIYN24csViMTz/9FEEQGDt2bL+tfGxtbSUejyMIAoMGDZKOk0gkaG5uZuDAgX26utlqtXZ5jxT99+A0rySRDFNnVNHc/AEnjdyG2T2YmgFTmDVrFhs3buwUSIXDYQRB6JDZLC4uJhaLYbFYCAQCDBgwYJ/zampq4tNPP2XSpEnce++9nH766Vx//fWkUimpZ+KRzKF9TJH53tFfRm2pVOqQP1XLyBxpZATpJSUlmEwmnE7noZ4SkC77GAwGDAYDLpcLs9nMl19+SSAQoLa2tkdB1J5kZWVhNBrR6XSYzWZcLleX22k0GiZOnMioUaPYtGkTmzZt6lNdZ6YBNaT1SLW1tVIQFYlEMJvNDBo0qE+DqMzqu+8ipvyYdz2OWh2hvFSFy51EowG/P0Rx9os0NTXx5ptvdtnA2WazdSkwz2QLXS6XJFxPH8uDGH4FMfwyYip97QOBAHPmzOHee+8lLy+Pv/3tbyxbtgyTycSyZcu49NJL++waHCrkXnsyfUqmt16m115fYTKZMBgM/epNJSPzfScYDOJyuSgoKNgvncvBIBwOY7VaycnJkUpFffUwljnf3NxcqaTWFbFYjM2bN0uO4gd6n8lotnJycgiFQpSXl3fI5gQCATwej6Qd60u6ukfGYjHMTe9QnfNr1KogoijSYk6QTMGcn1qALMLxChYsWMDSpUt56aWXuPLKK7Hb7eTl5TF69GjeeuutvR7TYrGQl5eHw+GgumQrysBSIJPdSxLX3sLMuf/g9NNP59prrwXSzbk9Ho/UJzA/P/+QL5DYH/rbkFNGRqI/Ap3vNuWUkZE5MHQ6HTqdDrfbjclkoqys7JAIrzO0t7cjCEIHLdSe9ga9NRzNnK/f78dkMpGfn9+lLYBGo+G4444jGo2yfv16tFotY8aM6XTPWbZsGY888giCIDBixAgeffRR1q9fz/XXX084HKahoYG//vWvxONxyW8pg8fjIRqN9jqIWr58OQ8//DCiKPLzn/+cq6++mgsuuIBt27ahVqvxeDzk5+ejUqm+Kc2lmDPDxe2LC7hoUTvbv4oBcMxADY/+bR7air9K1hmzZs1i1qxZhMNhqZ/hvtDr9eRkBzF9tpi83AT5eenPSxRFfvazy6ivnyMFUQBVVVW89957/OAHP+Cdd97hmGOO6dX1OByQM1IyfYbdbic/Px+NRtOnGanW1lYqKioOiYOzjMz3GavVSiwWo7q6+qCWziORCFartVPGZk8yrunJZJKioqI+cU33er34/X4KCgrQ6/Xdzu/TTz9Fq9UyatQoBEGgtbWVKVOm8MUXX6DVapk7dy4zZszg1ltvZeXKlUyYMIGbbrqJIUOGcPnll3cYL+McXlxc3Kv5b9u2jQsvvJCNGzei0WiYMWMGDz74IDqdjpKSEtRqNddddx0KhYIrrriC2tpa4vE4U46r4fdLtVSUpzhmYLpset1tbspq5vPrpcs6ZbP2NN7sjowppxh8AtH/e9yeEIFgCmO1mvc/CnPSuWZGDK9GoUrr1e666y7y8vK46qqrSCQSZGdn88ADDzBu3LheXZeDgZyRkjkodLeCozekUik5iJKR6QfKy8sRRZHW1lZUKtVB6Z1ms9lIJpP7/KLe07Hd5XLhdrvJzs7ulWt6fn4++fn5uFwuTCYTxcXFXXouZWdnc9xxxxEKhdiwYQM5OTkUFxeTSCQIh8Oo1WpCoRDRaBSVSsXYsWNxOp3MmTOH//u//+sQSLW3t6PVasnPz+90nJ6yfft2Jk2aJM35pJNO4sUXX2TevHmo1WpSqRRPPfUUq1evlq5vPB4nnqrAFRnOiQO3AnFEhYGwOByFKv15GwwGWltbMRgMB9hsPgakKCxQEo2JxOMiUyZpSbbVI+ivRND/ssPWmzdv7uWVOLyQ1bsyhzWym66MTP+S8WQqLi7GZDLtVaDdW2KxGM3Nzej1+h5nq4uKijAYDOh0OkwmU69d0zMu7OFwGLPZvFfD0JycHI477jgGDRqEyWTioosuoqamRur797Of/YxEIsHHH39MTU0NL7zwgiQyh7RuKTc3t0+CKICGhgbWrVuH0+kkFArxxhtvsHPnTkpKSgiFQjz33HNUVVUxYsQIkskko0ePpqysjKlTT+LkM/6KUP4pl/56PFUjtvLlVx6uvPJKIP07oFQq8fv9KBSK/S735uTkEAwGIetkMuFEKgVqdaYkqv7mve83ciAl0yc4nc5ep627Ih6P90uWS0ZGpiNqtRqj0YhGo8FkMuH3+/tsbJvNhsPhoLa2dp+u292h1WoxGo0dXNN741heXFyMwWDA5/NhMpmIxWId3hfFJGL0A3TK9xh6TCEffvghy5Yt44UXXiCZTHL//ffz1FNPcfvttzNx4kRyc3Ol7HljYyNlZWW9LkmKYgIx+gFi+A3qhxRzww03MH36dGbMmMHo0aMRRZFQKITX8SFrVt3BhWf7SHmuRpH6mi1btmA2m/noo48wm80IgpJHH30Ci8XCsGHDeOaZZ6TjVFZW8tlnn/VI6F9QUIDX60VQDQTdTwAtoigAAghayJmHoB7Wq/M/EpADKZk+IRKJ9LmLssPh6JfgTEZGZu/o9XqMRiOJRAKTyUQ0Gj3gseLxOE1NTeh0uj41Xsy4phuNRsnk0+12H/B4ZWVlGI1G3G43ZrOZRCKBmNiNaJ+K6LkC0XszL644lapSH5deeilVVVUMHDiQjz76iBNOOIF169ZJPkzHHHMMu3fvpqamZp+ZneXLl9PQ0IBWq2X48OEAPPTQQ+h0OrRaLXq9jhcePTY9B99SRPsp/GRukM2bN7N27Vq0Wi3V1dWoUpsoVlzNS6/tZO7ZcYisQnSehxj/H9FolGnTprFq1SrpuEqlkgsvvJAXXnhBeq2trY26uroDDkwVudciFK0A7RzQzkcofAxF3q8PaKwjDTmQkjlsCYfDvXp6lZGROXAKCwsxGo1Sy5meltIcDgc2m426uro+EYrvjdLSUgwGA2q1GrPZjMViOeCyX3l5OQaDAZvNRsu2H5NK2ImE/bSYPQyqE9i6bQdfbl1BVVUVHo+H0aNHs2rVKnbs2EE4HObuu+/m3HPPZeDAgfvUdW7bto2HH36Y+fPnc84552C1Wtm1axfXXnstf/7znwmFgvz4/HyuuPFrEIPpf8SwNT+EGP2A3bt388ILL3DllVeSyx95e62L+sEaDFVq7I4YHm+ApOduvF4va9asYejQoezatQtIC/n//e9/U19fD6SNUJVKJQaDoVfNrwXNKBS5V6HIvwVBM+aAxznSkMXmMr3G7Xb3SbPN747Zne+LjIzMwaGngvREIoHZbKakpKRXwvCe0pVrellZ2QFJAypLPaQUATZviaBUwuiGLHL1CqaflM2s869GlfVHxowZw9VXX83NN9/M1VdfTTgcZubMmVx44YX7ZdWyfft2GhoaeOutt1i6dCmffvopL774IpBeAU38fzjdIYoLO+Y7zr/0a+yus0BZzr333ktJSR6i1cQzr/i54Fw9/kCKNluSn1xlJRx5AVXWVubOncuZZ57JiSeeiM/nQxRFRo0axd/+9jfpeBlxul6vx+/3H5DP2NFqnCzbH8j0mowJ55701v7AZDLJ7WBkZA4zYrEYVqsVnU5HUVFRp/ddLhfBYPCw+du1Wq3E43Hy8vK69I/aG17He7ibL6eqPIpCAes/jjBimCbtkaQei6L46Q7b+3w+AoEAKpWKxsZGSkpKqKur6zYrtX37diZOnMjLL79MPB5n3rx5zJ8/n4kTJ3LJJZcgCCCQ4j9PV1M/WEMsLlJWrMQfTKHMGkdU+2eMRmO6j55tDIhhrPYE/kCKwQM0hMMp/KESKoZv6PZc29raKCoq6lCG7Mn9N2OBAOnFQaWlpd/LVdbd2R8cfaGjzEGhNwG63+/v1uNFRkbm0KDRaDoI0gOBAJDORDQ1NaFSqQ6bIAq+LdWJoojZbMZqtXa7fSqVorm5maRiKDUGNdGYiKk1QU21irxcBZAN2T/ssI/L5ZIaEpeVlTFp0iR0Oh2bNm2isbGRRCIBgCjGSfn/TMo6llT7ML769DLGjRvGkiVLuOGGG8jLy0OpVHLbbbexZMkSmpt3cu4Zefz4inaqKlTUGlRs3R4lkcgir/QcqT+hIChAOw9RzGJ3U5zBA9IZOLtTTVldR9uB75Ip6X1Xy1VYWHhAmrP+alh/uCNnpGR6hcfjQaVSdQp89nxK6SlyNkpG5sgg0ydPp9P1eQPe/iCTUQM6uaY7HA7C4bBkTGlpXIkyeBelJSKpVAKrQ01l1RCE4qcRhPTCGpvNhkql6jI7B+n7oNlspry8nArtXahT7wLp79ybfudg5Qt+VJoKIpE4DoeDQYMG8dVXX5FMJhEEgcYdf2fw8Mvw7ToGqyNOTXUuvnAtO+1LmDz5ROk4ohin+fOrEaJvYzTocLsjKPXzyK++udvPpDvjzf29D4fDYcLhMEVFRV1WJ74vyBkpmX4jGAx2mT060BtqOBxGq9X2dloyMjL9TCqVwu/3U1tbKzUJPhQP5j0hk1EzGAxYrVapkXNLS4tkrZDxuyquOp+y+n9DznwUOWci5lyHUPysFERZLBays7P3GkRBOlibMGECChx89skqWswxYrH0Nbrt+iJefaKKda+dyJ133kl2djYffPABCoWClStXAnD/IzvJ1evxxs+hbvDZKAt/S37dc5SUVNLY2Chdb4fDwzkXv89ZlygZcbKP3/ztBxQYbpHuw7/61a+6fNjtTn5RWlqKzWbb5zXVarV79eE6WpDF5jK9oq+fQB0Oh5yNkpE5zPF4PPh8PmpqahAEgfz8fKl8ptFoDnsT3YxrusViwW63o9frCYfDRCIRotEotbW1RCIRJh1/EdFolEQiwVlnZXHLLTHs9lZmz56Nz+dj/PjxPPHEEx0E7ZFIhKlTp0r7nXfeedx240QqVGquudXBq6uDqNUCP7kwl1XvhHC6XySa/IiGhgZKSkr4zW9+w8KFC1m4cCFKpZKHH36YqiHzpPEtJhODBg0C0hmliooKQqEQzz77LEOHDqWlpYXzzjuPDRs2MHnyZDZt2tSpTBcKhVCpVN0K8bOzs9Oi9x5e16MROZCSOWB8Pl+faplisZhU95eRkTn8EEWRlpYW8vPzqamp6fCeIAgYjUai0Sgmkwm9Xt/nq3n7Cp/Ph8fjobKykqqqKlKpFDt37kQURXJzcxFFkaysLN555x30en26X92UKZxwwgk89NBDXHfddcyfP59Fixbxj3/8g1/84hfS2F3td/qpVWz/xI/Xl+LL9bVY7UmCIZFfX1UM6FFUfCLtf9NNN7FkyRJMJhPV1dVdBjuZgKWuro7NmzdjNBpRqVQkk0kpgBMEgWQyyeLFi3nyySd56aWXpP33XKW3J3V1dZKpqEqlYsOGDcycOZOWlhYgHUAXFBSwZcuWDvuJokg8Hj8q9VEgB1IyvcDv9/dpPdxqtcrZKBmZwxSv14vb7aampqbbJe5ZWVkYjUb8fj8mk6nPGg73BalUCrPZTG5urhQIZoKqoUOHIgiCZPUASIbA8XiceDyOxWLho48+4pVXXgFgwYIF3H777R0CKUEQpAfMzH4KTQMPPe4xMGTKAAAgAElEQVRj5QPlaDQKjNUKgqEUptY4RRUnsafRgN/vx+PxMGDAgE7zb2tr62A/EYlEpDJlYWEhI0eOpLm5mcsvv5xJkyaxfPlyZs6c2aGEt6+S3po1azrYVjzwwANUVVWhUCi47rrr9truxmaz9anp6pGErJGSOSw4Wv1HZGQOdzJZqFQqRV1d3X7/nebm5mI0GolEIphMJuLxeD/PtHscDgetra0YjUYpU9ba2koikZBKlPBt78FM65jhw4dTWlrKxIkTOffcc8nNzUWlSucgMs1+v8uefe6mTZvG5MknsLtFzbOvBJl4egs/vKgVS3sSo6GEqHoRLS0tJJNJbDYb0Wh0rw+UiUQCtVqNKKZIBZ+k7YvTKRXmkK/8B1lqPytWrMBkMrFx40bWrl3Lc889J/XTg7SmdV8lve9SXV1Na2sroijy7LPPMm/evE7b7HntjkbkjJTMAREIBPr0KTPTeVxGRubwwefz4XK5MBqNB1y2KS4upri4mLa2NpLJJNXV1Qf1CzcajWKz2SgqKpIyLeFwWMqg7CknEJMWxMBDENsIykrKChby0UcfsX37dq666io2bNjQpaBeFEWIbwXRDepRKJWFbNmyBY/Hw6xZs9i2bRvRaIrsoh+z8b0UL768gZ9db2Pt+6spURQhiiIffvgh5eXlkv7pu+zZMkv03YLd9DIlBVF8XpFc1X/wtq5j9Ki3aTF5OPHEE1mzZg27du1i8ODBQFoXNXz4cJqamvZ6rQRBYPr06QiCwGWXXcbChQsRBAGVSsWaNWsoLy/nmGOO6XK/VCq135/J9w05kJI5ILxeb5+V9TI3pqP1aUZG5nDEbDaj1Wqpq6vrk/EqKyul0trBEqS3tbWhUCg6ZHhsNhuiKHbSCIkJM6LzXBBDQAKSu3HbNxJRX8uECT9lxowZfPnll3i9Xr744gsGDx6M2WymuqoY0TENUg5AAWIcUX85Cv0iCgoKOPnkk1m1ahUGg4E551+BomAAcxaIXHpVAYKiiEgkQltbG5MnT5b6G+bm5nbq7BAOhykpKUFMtpEMvEIkGqK0RI3ZEicYiqLTgRB5loqKH7N69WquvfZa2tvbpf11Oh07d+7seM6iCPFNkGwHdQPvv/8+1dXV2Gw2pk2bRn19PVOnTqWyspIlS5Z0mY2C9Aq///3vf0ftw7BcS5E55Fgslu+t94iMzJFGIBCQVoP1ddPwTFBTUFCAyWTqVaPh7vD7/bS0tFBSUiIFbIlEgubmZvR6fZdBnBi8/5t+dmkDzR1fxXC6AlToHiAU8vHWW28xfPhwTjvtNNasWYPb7eb+++9n2gntkDSnAzAxgN0RxNP6V8ToB4TDYd566y3q6+s599xzWbNmDQDvvfceQ4YMwe1243a7GTBgAAqFQrJnUCgUmEwmyVbA6/WSl5eHx+Ph/PMuoP6Er5hxYSvvvB/i7vvcTJ/bytDjvqKw6krGjh3LmWeeyWmnnSZ5ZgWDQYAOJT0xaUN0zEB0/xzRdyuiYyaVuj8hiknKysqYNWsWGzdulK7d6tWrmTlzZpfXW6VSScajRyNyRkqmx4RCoT5tJizro2RkDg9aW1vJysraq0ljX9FfgvSuxOSQ7t0ZDAa7P6/oh0ASAIczidOd4FdLHSSTVlKKCcydezFnnXUWxx57LLNnz2bZsmWMGTWY+ecpMbWG0WgEyktV3/S520UyNZOUUMncuXM566yzmDJlChdffDHLli1Dr9dz1113IQhCl8LvTEsbu92Ow+EglUpRU1PDggULmDp1Cn+/x4XXFyQRF5kyMZs/3V5CdraGG/+vGCHreG699VYgHUA1NzdLP++J6LkWki3SOQdDKVKB1eSqRxNiDm+++aY0zttvv82wYcPIzs7u8tJFIpFO7uhHE3IgJdNj3G53n2WQrFbrYe85IyPzfScYDOJwODpphvqb3NxccnNzcTqduFwuKioqDvj4TqeTUCiE0WiUZAKiKGIymcjPz9932UlZCikLALG4yAkTc9j8Vg2gQSh7H0GRLrUNHDiQjz/+GJfLRVlhC6L7MhATRCIpLO0JRh6bld5PPQZF8TPS8AUFBbz++uskk0laWlqoqqraZ/BRWlpKMBhk9+7dxONx1q5dy003rcIb3ExFaTMKRRKtVkF2tgIENZOnXMwLL62T9tfpdLhcLsLhMLFYTMpIiSkXxLeQCaIArPYkc366C7icBPdw0UUXMWPGDACefvpp5s2bR25uLj6fr1PfQqfT2efZyyMJOZCSOaTs+cctIyNz8LFYLKjV6n7PQnVHbwTp0WgUq9VKUVFRhy/zQCCA0+mUSmX7QtD9HNG7GMTwHq9qIOskKYjKoFar06sQ1Q1kghGnO0VVRUaQnw1Z0zsdIxAI4HK5urQ22Bsul4uRI0eyYcMG1Go1N954I01NbYxtELluoUj9MTpQFCPk382jj9/FBRdcIO0bDAbJzs7GaDRiNpulTJeYitBmTWB3RonFRIYO1jCwVs2n/60FRQWKsrUd5vDYY49JP5tMpk6BVMY24mhFrqfI9IhIJLLX9G5PcTgcHfxKZGRkDh6hUIimpiZKSkooLS091NMBkAwyzWbzfrUnaWtrk7yt9jQHbmtrIxKJUFtbu9+yASF7Ouh/BYIWBB3pIOoEhPx7utw+OzubSATIvQXIBoRvgr9sUFYj5FzYYXubzUY4HO5kZLo3RDFG1PssyuBtxF230tL4IV9//TWXX345Doebl16384PZHiaepUAoXcNdf3yHlpYWfvvb3zJ8+HCWLFmCw+GQPtusrCwaGxvZvHkzmz4xk0gVMmSgmvGjs8nVZ66RGrI7B4B7UlhYiMvl2q9zOFqQM1IyPcLpdPZZWS+zCkVGRubgklnN1lcr8vqSjCA94z/V1Qo2v9+P2+2moqKiQ0Y7Go3S3t5ORUXFAWl2FLpLEXMuQoh8hFB6LIKybK/blpSUfNOk9zySysHg/jtoIpB1CkLOHAQh3TM0U14sKira704QohhFdM6jvWU7J569ixytQColoFQKnHbaaSiVSpYuXcqDDz7I5s1b+etf/8qTTz5JWVkZq1atIisri7Vr13YwF83KyqK4uJhwOJzWqFXch+j+GYgJIA5oQVGIoP9lt3PT6/XS+Xw7X1HK0h2N3SnkQErmkOB2uzvdHGVkZPqXSCQiBRp9lVnuLzIlKZ/Ph8lkori4GK1WK7Wf+W5mx+FwEI/He12iTCbVqLXdB1Hfxeoso3roXztlv6LRKBaLhZqamh75cImhF0jFdmG2BECAFx6tZIBRzekXtrFjx2ekUim2b99OPB6nuLiY5cuXM3ToUH70ox/hcDgIBALU1tZSU1NDe3s7yWQStVotPbgmEgmaTEkMVa+ijD0PyWZQT0LQnoOg2Lfov6ysrJO+tbS0lLa2tqPS3VwOpGT2m2g02md6pkAgILeDkZE5iGQ8hQ7HLFR3ZHQ9O3fuxOFwMGHChA5Zj1QqJVkd9EWG22637/cCmNLSUsmX6rtBlNvtJhwO90gPlSHg+DeffeZm8rh0sJtMQHa2guW/MzL/4gtob2/n8ccfx2g04na7USqV/Pe//2XTpk2SR9Ztt92GUqmkoqJCcmLPoFKpGDBgACaTicLChegLetYzNSsri2g0iiiKBINBdDrdUe0DKAdSMvuNw+Hok7Ke3+/v02bHMjIyeycajdLW1kZ5eTlarfZQT6fHZMTkVVVVDBkyBIvFgiiKVFVV4fP58Hq91NbW9tkXeVdB0d7QaDTEYrFOx7ZYLGi12gPKzlgsFlRxLVUVKjZvjZJIiFzyKysIcME5hfzl3jv54CM3O3fu5M4778RgMPDwww9z0003MWbMGGbOnIlWq+XKK6/k66+/7va6GI1GbDYbkUikx0FodXU1bW1tANJ5Hq2CczmQkjnoeDweORslI3MQsNlsJJPJIy4LlSGTRduzjFdVVUUymWTDhg0UFxczZMiQQzU9IJ15GjhwIJDOjjU3N1NZWdnj0umeZddNXw4j4VlLYUGKfz1QwTEDNbjcSS7+ZTvHDLyd554WWP32VgoKCsjJyeHdd9+lpKSE2bNnc+KJJ0rZoj3F5nujrKwMn8+H2WzukTO5UqlEFMWjujVMBnnVnsx+EY/HO6WHD4RwOHxEPhXLyBxJxGIxycW7K8PHw51AICAJmisqKjq8FwqFMJvNTJgwAaPRiMlkwuv1HqKZQlFRER6Ph2AwiNlspq6ursdBlN1ux+PxIMY+4/WnJ2LZ/VcG1YEuR8FJx+dRVaGiYVgWp56o5ZPPguxubGXkiMFUV1fj9Xq577772LlzJ4sWLaKkpITNmzdjsVg48cQTmTFjBj6fr9vj5+XlUV5eTmNjI8lksttt9+S5557jBz/4AcOHD+fee++VXv/LX/5CfX29tHrw+44cSMnsFzabrU+MM2XLAxmZ/sXhcGC326mtre3TDgQHA1EUaWlpIRaLYTQaO2kyrVarJKRWqVRotVopu20ymQiHw10N2+/Y7XaCwSA1NTU9KjG6XC7Wr1+P0+nki21rad99PZNGB/jhKRqSyRSlxSr8gRgAlvY46z+OUFysoKxYSZ4uTEFBAYIg8Pnnn/PBBx9w6qmn0tDQwLx587jnnnvYsWMHZ599NrfccgvRaLTbuajVagYMGIDZbO7kgt4V27Zt45FHHmHFihVs3LiR1157jcbGRtasWcMrr7zCZ599xueff87111+/39fjSEUu7ckcNGTzTRmZ/iORSNDa2kpxcfER+bDicrmkRSjfDUbi8TgWi4WysrIuM9r5+fnk5+djt9ux2+1UVVX1SQZ9X2T0RQaDYb/0QaFQCI/HAyCJxAcPHkxrayv1dduo0GswtYZIielslN2Z4NgTm1AqBFKiSEGekl9eUkhrW5LX3gqj0aRXAra3t9PQ0MCTTz4JpK/H1VdfDcDMmTM5/fTT8Xg8xGIxDAZDt8FebW2tdF7duZVv376dSZMmUVdXh8vl4qSTTuK///0vW7du5cYbb5TsJ8rK9n/145GKnJGS2SfJZLJHS3f3htwORkamf3A6nbS3t1NbW3vELeSIxWK0tLSgVqu7zOi4XC5sNhu1tbX7lAWUlpZSU1ODzWaT/JP6i2g0yldffUVtbS0lJSVdZnxisRitra1YLBYsFgvRaJTKykri8TiFhYUAfP755+Tm5pKKtbB9Z5BAUOTDTWGKi5QMrFVTVa7i4zeNfPlBHc2bB6BWC5w2NYetH5zP1q1bycvL47zzzmP69On8/e9/B2D48OG88sorQLr8ZjKZKC8vp7q6mtbWVhwOR7fnVlZWhkql6vYaNjQ08N5770mlwNdeew2Hw8GOHTtYt24dkyZN4qSTTuLjjz8+oOt7JCFnpGT2SXt7e6+9QZLJpNyYWEamj8n0bSspKTnse53V1dWRm5uLUqlEpVKxadMmrrnmGlavXo1Go6GsrIzHHnuswwqwlpYWCgsLe7xaOCNIN5lMZGdn77dz+/5avHi9XgKBAHV1dVLmS6PREIlEcDqdiKKIx+MhmUxSWloqZatsNhvbt28H0kFWQUEBJ510Eq2trfzopx9hNrehEETOPyeXaSfpcLmTWO1JfjjPQq1BxcuPV6HRqJj+g1wQt5NyzOSmJXP49H8hli9fzrRp06ivr+ef//wnv/rVr/jtb3/LzJkzpXNSKBQYDAbC4fA31geFew288/Pzyc7OprGxUXKIF0UREruAKPX19SxatIhZs2ah0+kYMmQISqWSZDKJy+Viw4YNfPzxx8ydO3efqwePdIRDsVxx/Pjx4qZNmw76cWUOjLR7b89uZG1tbR1EriaTaZ8pZRkZmf3H5XIRDAaPmL+ruro6Nm3aRElJidRzTqvVSkHOfffdxxdffMGDDz6I3+/H5XLtd5+87giHwzgcDvLy8sjPz+92W4vFQmVlZbfXs7m5mUAgQDKZRK/X4/V6SSQSQPq+N3bsWBQKhbSibs+xA4EAWVlZiKJIcXExubm50n5f7/6cmtybCIdczLiwmX+vqOLxZ0M8vNJHTU0NDoeFEfVZ/OepciAFiPgDKeb+zMrFP5rHjy/9O7fffjt6vb6DLmnnzp3Mnz+fjRs3djoXt9tNIBCgsrJyr6VQURRpbm6mtMiPNnoNpOyki1lqLMElGAaeB8B1111HVVUVr776Krfddhsnn3wyAIMGDWLDhg2HTRuiA0UQhM2iKI7v6j05IyXTLalUqtc36UywfiTc7GVkDncyBpRFRUVHnI1IJsuk0+k6OZMHg0EEQcBisZCVldVnTZQzgnSv14vJZKKkpKTLEqEoijidzr2Ok7E2yM3NpbCwkLa2NoqLi2loaJAMQruyEAiHwzQ1NaFWq9Hr9SQSiU4lzMrKShKJBMn4Q+RqH2P40Mdptebwyuowz7/wKkOHDsPj8TB+/GjWfqhn6nHpVYG3/p8DlTrFxWduJBBw8+abb3Lrrbdis9koKysjlUpx5513smjRoi7PqbCwUDqXzDy+iyAI1NZW0/75ZCIqL4UF3wa29sZfU10zGZMlxeuvv87zzz9PPB5nzZo1nHzyyezcuZNYLHZEavZ6ghxIyXRLe3t7r5dPWyyWPuvPJyNzNON2u/H7/X1qQHmwEEWRk08+maysLC677DIWLlwIwNKlS1mxYgV5eXk88cQTlJSU9PmilEgkQigUQqlUsnPnTsLhMNXV1Z20nzqdrpOMwe/3097eLq2ELCoqIicnB4VC0em+VlxcjNPplMqsNpuNlpYW3njjDVauXIlSqWT06NE8+uijfPDBByxevJhUKoVOp2Pp0qWcODHB/z56jc8+DzFprIp2q5NRQ5rJKTohnXlE5O21QQYPUPHkiz7e2xAmmYSxp35JgklcdNECZsyYwfLly7n//vsBmD17Nj/5yU+6vT6ZQC7Tfiej35KIvk95aQqPR8TSnqCqIh06XHa9mUB4POqscu6//34GDBjAtGnTWLZsGQ0NDWg0Gh5//PEj7ne1p8ilPZluOZCyHnQs7ZlMpiPuyVlG5nAik8nJz88/InpUiqkQov8PEHmZWDRKu3csEeVC6o+dis1mY9q0afzlL39h6tSpQNo+YNmyZajVau644479Pk4qlcLpdBKPx6XXBEHotIIuOzubwsJC6QtdFEUsFguCIHQInCwWC4WFhbjdbum1aDSKTqeTVp9FIhFOOOEEYrEYqVSK8847jzvuuINLLrmE9957j5ycHFQqFTfeeCNjxowBYNq0aWzfvh29Xs/cuXP54Q9/yF133cXLL/yNYccO43d3/5MtWz7mgTt2MvXc3Vy3qJDJ47M5/swWXnqsjmETnyYcK6a+fgivrKhAQOD62x2sebGa0hIVoEEo24Cg6P1Cg0AggNvt7pC5E0PPk/L+hjZrgHAkhbFKjVoNbdYkVQMuRJF/l7T/hg0bmDx5cq/ncbghl/ZkDoi+CLLb29vllXoyMr3A6/Xi8Xh67FF0qBBFEdF9KcT/h9UeQhShpmwTCLsQU29RVlbGrFmz2LhxIyeccAImk4nS0lIWLVrED3/4QymQCofDuN1uBEFg4sSJ6PV6FAoFKpWK//znP3z++efceOONJBIJ1Go1DzzwABMnTtyvOQqCQHV1NYlEgsbGRvx+PyUlJVJZMRNcZUqBGS0TpPvMPfXUUwwZMoR4PM6UKVM444wzAPjDH/7AoEGD8Pl8jB07lkAgIJULY7EYoVAIl8uFWmEhGTOxe8ul5Cay+fxTP2VFg5lzaQs/Pj+PSy/Op8Ucp6hAxRW/tpCVPZtITE9BQR5nnFLCkON2EI2JnH5hK6Bg0sR6Hvpn36zW1Ov16PV6yY8sKyuLeMSA6IpRWa5EoUiHDQ5nkuJCPYLmhA7719fXs2PHDurr6/tkPkcCciAls1f6oqwXj8dl7ygZmQNAFEVMJhO5ubl9phc6KCT+R8DzP1zuIOWlSrKyFARDCVKpALn6FwmkZvP666/z85//nJdeeonjjz8en8/HihUrqK2txWKxAGltU0b4rVQqWbduXQetzSWXXMKdd97JGWecweuvv87ixYtZtWoViUSCeDxOPB4nmUx2yEJlaGtrk/SfKpUKvV6PyWQiFAoRjUZpbm6mtbUVo9GI3+/H7/d3CGJ9Ph9tbW2EQiFCoRBOp5NQKMQHH3xAIpFAEATefvttKioq0Gg0XHDBBRgMBrKzsznppOM4adS/+P2thfz4ShMqJeTlKmioD1JdoWbBBXm0WdPlsxmn5FBn1HDDjdfw+/sTuFwuyDuBnRvuAjGUnoz2XIS8W/r0I3S73USjUZRKJaFQCJ1uICUDz4Pwq0Da9DQa01CiGwzZ0zvsW1BQwJdffokoitI1SyaTjB8/nurqal577TXeeecdrr/+emKxGOPGjeMf//jHQfH96i+O3JnL9DupVKpXK2ZkF3MZmQPD5/Phdrv7ZNXawUQURUyNG9AmRGoMaQF2kynO1s+jLP5NCwhXk+I3nHrqqUyZMoXFixdz8803S3qje+65RxorHA4TiUQQRZFkMkl7ezuxWEx6PxaL0dTUhMViobm5meLiYsLhMGq1mpycHNRqNQqFAkEQsNvt0r6CIDBmzJhO13Xw4MF88cUXuFwusrOzOf744zudXzKZZNeuXeTk5HDaaafR1NTEJZdcQnFxMVarlc2bN7N69WpGj6rnn/f/kKwsF+7QeD755BOam5spKCjgvFkTeGedj5fe8PHGk9UkEiJPvujnwce91A/WcObFae+mm64qYsnlhSy83sk/n7mP2rohPPvssyhyihC1Z0HKAYo8BKFvWm4FAgGp1U5BQUEHnVQ0GsVsXUieZgR56ldAjILuBITiXyII6k5jZfyqMsL75cuXM2zYMHw+H6lUigULFvDf//6XIUOGcOutt/L4449z6aWX9sl5HApkjZRMl2Q0BAcqEm9rayORSMjaKBmZHiCKImazGZ1OR1FR0aGeTo/IOJNXl9kQvD/7NmMikU1QWIQrciYGg6FHJr8DBgyQNE4Zofr27ds5/fTTpca569evlzJ3Ho+HUOjb4++PgD0UCvHll1+yYMECIpEIiUSCc845h8WLF/Poo4/y8MMP0dxs4pPN6xgzdgqQFpPPmDGD3/3udxx77LGIokie5l2uuOJqaqrV3LW0jOde9bN6nYF/rlgPwGMPzmLDh2t4670Qq56uIjtLQTIpcsY8C++9cSEluZ8CMUytMYzVuaCdhSL/9v2+Vj0hGo1K5pw6nW6f+juv14vP56OsrAyn07lXf8GMkWdFRQVtbW0sWLCApUuX8uc//5lHH32UyZMns3v3bgDWrVvH3XffzRtvvNGHZ9b3yBopmR7TWxfyzNO0jIzM/uH3+3E6nRiNxj7pJHCwiMVitLe3U1hYSE1NDaJoRFQOgMROICMCF2i3C6jKpu1XmVKM70iL1eNbQFHM2rd+jWHQz7Hb7ZLp5PPPP8+yZcuYM2cOK1asYP78+TzzzDNA2kyyqy95URSx2+2S79Oer3/44YeMHTuWtWvXUlBQQCwWY9KkSZxyylRmnLiDedOzOWW2BoXnElK+n9Jon4vNZufss89m48aNjBo1ispyFaL9T/xsvp7fLXMBcWqq4aOPPiHo/YycvJGsed/PuGE6nnvVj82RpLpC4M13Qwyo0VBadwMAfvuz6IojCEXngXpcbz6eTqRSKcnuQKPR9OhhOdOKx2q1Yjabu/Xcqqqqwmw2c8011/D73/8ev98PpIPaRCLBpk2bGD9+PM8//zwmk6n3J3YIkQMpmS5JJpO9qlkHAoEOAk0ZGZm9Yzab0Wq11NXVHeqp9Ij29nZEUezgCSUIAhQ9juj7LUTeIBZL0OYaRsXgu9Hqj9nnmGJiF6Lrwm8zWkk/1fr7EYMxysquYNasWaxfv57HHnuMG264AYvFwsyZM7niiiuorKzE6XTi9XqlMtWeCIJASUmJ5PsE6UyU3W7nuOOO6xBUZLROBVn/oUT3MTnaJKKYwuEK89/VjzBkZBYjRlzGVVddxeLFi9PnHX0HUYRX/hOk/hgNiYTIpLHZzDlLz7gJ01FpShkzZhQ/v0SDRi2yaLENhQK02Ur++LvTEdTHAuBNXoqxru8eREVRpL29XZJrVFVV9WrhQllZGfF4XPq9/a6EQ0y2Q8LJu+9+THFxMePGjePdd98F0p/B008/zTXXXEM0GmX69OlH1INDV8iBlEyf4/f75SBKRmY/CAQCOBwODAbDESW2DQaDOJ1OysvLpea0eyIo8hAK/oDDcQPRZIQBow1djNI1YuABECPfHiuUIh4PEGx7gLBuKi+//DKXXXYZ5eXlfPjhhxx//PGsXr2auro62tvbKSoq6nJOXZGxTthT5J5MJhk3bhy7du3il7/8BSeMXA2k8PkhFE6xbUeMfz7lIJG8lYT4dy666CLOP/98TjnlFOzWXYhJG6OGa3jgnlKs9iSiKHLb9cXcfvsiFLnXAGBtb+RHl7zIwp+8CYIaX3wmLfYJQDqw29MRvTc4nU4ikfS1LC8v77PfMavVSkVFBSqVilAoJLWb0eWkED1XIjo/IqXR8vnGVv79SozVq1cTiUTw+XzMnz+flStXsm7dOgDefPNNdu7c2SfzOlQcOX+5MgeNjCvugeLxeI4IrxsZmUNJa2srGo3miMpCZTRcWq22kzP5d7fLuK/3eMFJ/DPSLVDSQdQ774dYfLsDlVpBUjyHeRct4Be/+AUjRozgqquuIpFIkJ2dzaOPPtqjVcZms5m8vDyKi4sRUwHEVBAApVLJli1b8Hg8zJp1Dtt2+CkpEkgkRLTZCs44Vce4UdkMHpBLRcMX0njvvPMOYrId0T4NSDcwztWnr0VrmwKhcDQGfVo4n0hq0FVcB1yXPs/WVgoLU8Tjcam8e6B4vV6pjFZcXNwvPRj3rFjk5OSQk5ODy+XC2fgLKgv/R1lJEpvdy11LC7j+cjVZJb9n8zYdf/zjH1m5cqX0HRONRrnnnntYujoYMTYAACAASURBVHRpn8/xYCIHUjKdyPiyHAihUAitVtvBIE9GRuZbMqWkysrKI8oaJOOqbjAYul1JmOmTd8C+V8o6SKY1M7ocBWdP13P2dD1p08kPEBTpfnlTpkxh8+bNPR4+Ho9LRsMqoZ2UcxHEtyA64qS0YxHyf4+gqqWgoIDjj5/C0y8/yc1XK8jOVoAAgWCKyeOycfiH09LS0uF6CMoKxNybwH8X6WAwhSCoMRxzKejSzYlbWlo47rj/Z+9NA+Qq67Tv6661a6+urburq6obCJBNCBAJzLCqCRBwIInDMoFhQMWJOMMoKIivCjjiM6M8LMLIEhTBkVWWeSOyCCrIYEKACAHZ6a593/eqc87zoT0n3emt9jpVff8+Jd2nqu7TVafu//kv13UsgKlptrvuuguVSgXbtm3Dqaeeirvvvhu//OUvBW+666+/Hhs3blzwnPL5vCAiqtPpZtnUtJq53tdBAwtj+S34g0UQArBTsTBMxgo8/jsAfE049oc//CF27NgBlmWxbds2fOpTn2rretsNDaQos2hmkpO/m+KbGSkUyj4CgQCkUmlP6UJVKhUEAgEYjcYFs1AAWuKTR7TbwMV3g9crmmIAGNgoBFGNkk6nkU6nMT4+Do4rgYucC7AxTAU9DCKBVyGPbYHhoD/ggw+8eP7553H1N76MgYH74A/mAA5wjCghkWowdOB1gMwJn88HqVQqZMMkmvPAKY8DSs8AXAUY+AyIbBmAqcm4lStXwufz4d1338Vdd92FXbt2IRKJ4POf/zxWrFgBAPjqV786w3h4LiqVCsLhMIApza1O2nDNuUewCYDIYR+WoVLhkMuzwq8M2jTWuNZgx44dAKYCqR/+8IedWm7boYEUZQbNaD+Vy+WeusOmUDpFoVBAKBTCyMhIzf07YiAUCoFhmEUDqEKhgHA43JIsG1GsBWf4EZC5DmDjACSAajOI/uqmnjcYDEImk+3L1hSfBbgc+DIiAATCFVxw6VuocodCKjPi7LPPxqdPuRTX/mACd9/9cwTDDNZ8JoDTTjsdd/90KuhxOByoVCrweDxQq9Uwm80gMicgm6mLxHEcUqkUxsfHYTQa8dJLL2H16tV4//33ceihh+K4447DH//4x6nS335ThdOfIxAIgOM4yGQycXmYysYATGXm5HICo4FvIJdBbz4ZvnSmb1s+qI4UZQaNeusBMz31pnvtUShLmWAwCEJIT1kl5XI5xONxWK1WDAwMLHhsOBwGy7IYHh5u6Ro4jgO4FEDUIKTx4IzjOExOTsJms81o4uayPwGXvRkAC4bh8LG7ArmMwGqWQmO7DET7LwgGg5BIJDX3jPJ/N6PROGvgZv8y4F/+8heceeaZePjhh6FWq7F582acdNJJMJvN2L59O0wmE9auXYsbbrhBUGoHpgyGuynSyjCMEDTvD5v/FZC+FgA/LCAHiBbE8gQKJT3y+XzPijRTHSlK22EYpqcUmCmUdlMsFgU9tsWCEbEwvZl8sYZnhmHg9XphsVig0WhavhZCCECay2DwmcCxsbHZfT3yVQAZAMfm4AtUkc1xWLNaARA1SswyhCYn637vNBoNNBoNEokEPB4PbDYblEolcrkc1Go1JBIJuOokwOWxfPkhuPLKK3HBBRfAYDBgzZo1KBQK2Lx5My6//HJ4vV785Cc/wbZt23DvvfeKJtvPT+zNhUS9BZzMCS67HWADgOJvQDSfB5HaoFZD8B3sN2ggRRGIx+MNqyn7/f62NzhSKL1COBwGwzA91QtVazM5MDWZm8lkRH1+vLTBvFORiuMQTY4gn/kQzlEZlEoG5bIM6YIVjP4wjI01XjYbHBzE4OAgQqEQyuXy1GfBIQEbOX2qkZ5IASjw92d+F5/73IvIZDK47bbbYLPZYDAY8Pbbb6NSqeDSSy/Fli1bRBNE8Sz0+SCKo0FMc5tHDw8PIxgMtjx72W1oCoEiUCgUoFLV79vEl4d7wZmeQmkn5XIZk5OT0Gq1PVParlQqcLvdkEqlcLlcC26SvJEyAFE7F/h8Pshksnk37EKhALfbA7X9HrgOuRhEaoHZZMUr7xwHtf0+jIy0pveI126qVssIvHMOwHwIoDjVm8Ul8OGfL4NCGsSrr76Khx9+GJs3b4ZCocC6deuwbt063HrrrVi2bFlL1tIqmmkHksvlqFQqTT2HGKEZKUrTNOPJR6H0C+FwGNVqVdRZmv2ptZkcmOr/4cVDxapEXa1W4fF4MDo6OmcWhy9dzpwsvAoJ5kvIlXM4YCWg1bUuW1Iul8FxHA5yRlEK5+HxlaBRS2A0SBAIMVh32scAVkEqlcPpdGJsbAyHH3443n77bchkMsjlcnzve9+D1+uFXC7vqT67+djf0LgfoIEUBcBUWr/RiQredoBCWYrwukRWq7UtvULtgFcmt9lsNfUABYNB0cs2ZDIZJJNJHHDAAXP+njdVnl665DNsRqMRDocDpVKpaUHi6QQCAYyNjYErvAqFQgLnqBzZHItgmIHVLMWQVYb/eeBsHHH8fwuP2bRpEy644AJB/iAYDMJgMEAqlcLr9UKhULRsfd1AIpFAIpGgWq32lJr/QvTHWVCaJp/PY3BwsO7H9WO9m0KplWg0ilKp1DPq5LUqk/OUy2UEAgHRN8yHw2FIJJI5y42lUkmwjpl+zul0GslkEk6nU2hLUCqVKJfLLVlTLBbb13MqXwNwU5IGWo0EWo0EvkAV4Ajszk8v+DzDw8OYmJjA+Pi4EOx5PB4olcqOB1Stkrix2+0zprx7HZpGoDRFpVJpWAWdQulVqtUqJiYmMDAw0DNlbX6SzG631zSCHovFEI1GMTY2Jtogipc20Gg0c56Tz+dDIpHA2NjYDDkCr9crlDT37+1UqVTI5/NNrYtl2RnG7UTmBFSbAEzvQVUARIrTNv8YRx11FO68807hN7feeisOO+wwXHzxxUgkEhgZGRG8AJVKJZxOJ/R6PTwejyDK2QkikUjL5AsGBgZQKBQWP7AHoIEUBalUCnq9vu7HtfKiolB6hXg8jkAggPHxcWi12m4vZ1Gq1SrcbjckEglcLtei/U0sy2JychIKhQJ2u71Dq6yfYrGIyclJOJ3OWSXVZDKJyb/KF0zPmOdyOUxOTmJ4eHjeDLzZbEY8Hm9qbV6vd1bGj+ivBfTfAaQHgCPDCKQ34sU/vorXXnsdv/nNb3DbbbfhhRdewLZt2/Dhhx9iz549GBkZweWXXw6lUgmpVDojwBsYGJgRUEUikabWXCutGiqyWq2IRqMtea5uQwMpCnK53CzxuFooFosNTflRKL0Iy7KYmJiATCbrmZJEOBxGKBSCy+WCwbC4vUo6nRaCgEa+EzpFIpFAIpHA+Pj4jP5MfmqSEIKxsbEZPTiBQAD5fH7Wz+ej0cmydDoNrVY7O+Aovwxk/h1gwwgE47Cqfw3X0F8AADabDZs2bcKuXbswNDQEqVQKiUSCL37xi9i1axeAqQnAubJPfECl1Wrh8Xh6KjjRarWCwXIvQwMpSkNfGM00p1MovUYikYDP58PY2FhD2dtOk8/n4Xa7odfray49+nw+VKvVxs2GO4Tf7wchZJa8RCAQQCwWw9jY2IygsVgswu12w2QyCUbAizEyMoJgMNjQ+hKJxCw9Po7Ngkt++a+yBzkEQ2nodVVk/N8GV/0YuVwOzzzzDFavXj3Dp/Sxxx7D6tWrhf/b7Xb4fL45X5cXUdVoND0TUA0ODiKZTHZ7GU3TsmZzQogUwG4APo7jzmjV81LaSyaTaag8kc1me+aunEJpFJZlhamuXvi8cxwHn88HpVJZUzM5sM8nz263i7rfkWEYuN1u2O32GX6FqVQKyWRyTp8/3r6m1r8Fj1QqBcMwda/R5/PNXQ4tPQ9Mu1/lOCCRYrHl4o8AyXGoskb8wz/8A0499VRccMEF2LNnDwghGB8fxx133CE8TqFQQKFQIJvNzvu9zQdU+Xx+hv9fK2hHgG00GpFIJBoadhILrZzauwzAXwCI/3aNIpBOp+tuls1kMqJO+1MorSCZTCKdTos+Q8PDr3d0dLRmnadwOAyO40QtawBMfefE4/EZ0gbVahU+nw96vX7W+iuVCvx+P6xW6wx/vXrQ6XRIp9M1ZyCLxaKg/TQLLo/p5siHrVRCLid4/bkxQP2PkOi/JfzuvvvuW/B1rFYrJiYmFr0BVqvVUKvVyOVy8Hg80Gg0DTtXAFNZzna0cuh0Ong8np4OpFpS2iOEOACcDmB7K56PIm6SySQt61H6Fn4SDEBPBFF8MzkhpKZmcv4xvAK72EUeI5EIisXijGApGAwKHnr7b8DxeByRSARjY2MNB1EAYDAYkE6naz6e91WcE8VxmJ6Sksv/+pkiAyDKheUP5mJ0dFRQmF8MjUYDp9MJpVIJj8fTcCN9O7NGFoulY83y7aBVGambAHwDAE1T9BC5XK5uAcF23ZVQKGIglUohkUgsapUiFsLhMCqVSl2lq0QigVwuJ/osFMdxcLvdMJvNQvaFz0zNpWvFl2FNJlNTmZfpSCSSmgSHI5HIgv1XROYAp/kikLsbQBEABxA1oDgJUKyre11yuRwqlaqu6gBvqJzNZuHxeKDVakWTBVKpVD3R0zUfTX9TEELOABDmOO7VRY67hBCymxCyu5cjz36ikcxSLBajkgeUvoPftFmWnTUJJkb4ZnKdTldzaZ4/R4lEInp7jmKxiImJCTgcDmi1WkGSoVKpzKlrlUql4PP5Wj5tOF2/aT4YhkGxWFw0+yXR/SuI6WeA6u+BgTNBDDeCGG9sOONpsVgQjUbrHhbSarVwOp2QyWTweDyiafau5W8tVlqRkfpbAH9HCNkIYACAnhDyC47jzp9+EMdxdwK4EwDWrl3bX46FPUq9F3CrVG0pFDGRTqcRj8fhdDpF6yE3Hd4rrp4sVDabRSwWg9PpFH2QmEgkUCgUhH6ocDiMcrk8Z5mVt3jR6/VtGQaY7zuyWCzihBNOQKlUQqFQwLnnnovrrrsOW7duxe7duyGXy3H00UfjjjvumNEzRRRHgiiObNn6XC4XPB5P3c30wFRvkk6nQyaTgcfjgU6nW/DGut0lbplMBoZhetJyrOnVchz3TY7jHBzHjQM4F8Dz+wdRFPFRKBTqVitesAeAQulBvF4vKpUKxsfHRR9EJZNJuN1ujIyM1DzGD0zJAvA9RmLfoPiMhN1uF8QztVotHA7HrI08m83C7XbD4XC0tWdzcHBwVl+RUqnE888/jz/84Q946aWX8PTTT+NPf/oTtm7dinfeeQdvvvkmCoUCtm9vb9uwVCqFRqNBKpVq+Dl0Op0QYHs8nnmfq1FdrXpwOBzzyjuIGXFfVZS2EY/H6+ojYBhG9F/CFEqtZLNZQeG6VaPh7aKRZnJgymNucnISJpNJ9OV4hmHw8ccfw2QywWg0YnJyUhDPnKtk5vf7USqVOhIcajSaWZYxhBBoNBokk0loNBpUKhUQQrBx40YQQkAIwdFHHw2v19vWtQFTSuyJRKLpQGd6Vs/j8cxotE+n0x2Z1CaEQCaToVKptP21WklLP4Ecx/2eakj1J36/X9R2ERRKrfh8PiFDI3b3+UgkUpcyOU80GkU8HsfY2NgMzaVukUwm8bnPfQ7Lly/HihUr8PLLL+Phhx/GqlWrIJFI8Jvf/Abj4+NCI7TL5Zoz61YoFOB2u2GxWDoaACsUillmxpOTkzjrrLNgs9mwfv16rFu3r2m8Uqngvvvuw6mnntqR9blcLrjd7pY8l8FggNPpFMqm6XQamUymY0K0zYihdguaYliClEqlur5c+TsdsY+BUygLwZeKbDab6DM0fMCg1Wrr0nnjbWwGBgZmKX93k8suuwynnnoq3nnnHfz5z3/GihUrsHr1amzfvh3HHnssjEYjPB4PVCrVvJIToVBI0PXqdK+mzWZDKPguuOIz4Eo7kc2moVarsWfPHni9XuzatQt79+4Vjv/yl7+ME044Accff3xH1ieRSKDX61vaOM4HVCzLwuv1dtTKpRXG0Z1E3LdjlLYQi8Xqyi75/f6ecbinUObC7/dDLpeLfuQfmMqYyeXyuhuIU6kUUqkUxsbGRHXTk0ql8MILL+Cee+4BsE+dO51Ow+FwgGVZ5PP5ec+3XC4jGAzCarV2TXqFzd4JLvp/wSnVADhEvFKMH/4AABuMRiNOPvlkPPXUU1i9ejWuvfZaRCKRGYrknWBwcBATExMwGAwtff+NRiMcDgeq1aqg8t/uMp/FYhFU2XsBmpFagtRbS+/FKQoKBZiSCZiYmIDFYqmrQbsbpFIpuN1uDA0NwWaz1fVYr9crWKGIKYgCgI8//hhWqxUXXXQRjjjiCFx00UV46623MDAwgHg8DqVSOW+/ZjQaRTQahcvl6loQxZV2AtnbYDVXEY4kEQqnIEEMiY8vBMexKBQKePbZZ7F8+XJs374dTz/9NO6///6ufGeOjY0JYrKtZnBwEE6nUwiostlsW16Hh1eW7wXo7rjEKJfLdflpBYNBDA8P1/06nZjwoFAWIhAIIJPJYHx8XNSyHQzDYHJyEhzHweVy1dW3lc/nhaZ5sYgr8nBsFhwTQ6VSwWuvvYZt27bhd7/7HQDgjjvugEqlmjdDyP9NBgYGut6byeV/CaAApVKCXJ5DtTrlk/fpza/h8MOW45Of/CTWr1+PM844A//8z/+MUCiEY489FmvWrMF1113X0bUSQgTvunbBB1Tlchkejwe5XK4tr2M0GpuaRuwktLS3xIhEInWV6SqViqiNTCmU/SkWi8INQL0SH50mEomgVCo1lEkKhUIghIiuXMmxKXCpq4DSCwAIRlVGOBw2uFwueL1enHnmmbjrrrvmLQ8lEglks1nxZNe4fZv5sFUKlUqC0REZXv3tChDjLSDK44TfV6vVbqxwBvzUo8FgaElWbL4Jb15BPhaLCcfU65SxGLz0RKuU6tsFzUhR5iUSiTTclCuKL0DKkiMYDCKZTGJ8fFzUQRTfTK7RaObUSFqISqWCyclJ6PX6ukuAnYBLfOGvQVQFQBk2UwiD2gT2vPoMli9fjj179mDlypWzHzdNed3pdIrnO0R5KoCpsqJKNW3L5KqAfE131rQIrZziKxaLC5ZVzWYznE4nisUiPB5PS5vEtVpt2zJerYQGUkuIarVal+jgYhcQhSIWSqWS0GjbSCm6k/h8PmQyGbhcrrqbaePxOMLhMMbGxkR5bXKVd4DKe5gKooBkisEfdxZx8/dt+Pa3r8aRRx6JPXv24Oqrr8Zjjz0Gh8OBl19+GRs3bsSJJ54Ih8NRl8xDJyDqTYDsIIDwf28JgAFA/y0QibabS5sXQoiQLWqWWts0+IAqn8/D4/GgUCg0/doAYLVaEQqFWvJc7YKW9pYQoVCo5n6Ddjp9UyitJBwOg2EYjI+Pd3spC8JP1dnt9rr1q/hszeDgoLgnaBkfQKTAX/fefIHDCcdOBSC7nvs0JKafCodu2rQJmzZtgs/ng0qlEm35hhAlYH4AKO4AV3wGkJhB1OeByFd3e2kLotfr4Xa7YTQaO6raz1cxIpEIotEoLBZLU0H/wMAAwuEwOI4TT5ZyP2ggtYTgFXdrIZvNtsW7ikJpFeVyGYFAAFarVdRj0gzDwOv1wmAwNOSJlslkBC9A0U/PylcA3D5Vavswv8UoAcXaGYfm83lEo9GGAstOQ4gCUG0GUW3u9lLqwuVyYWJiois3GfyUbCQSQSQSgc1ma7jcPjo6ikAg0PXBg/kQ96eX0jJYlq05iOqUHQCF0ijRaFSwCBEzzTSTA1P6V0qlUvTnyUOkdnCqM4DCkwD40o4UIBoQ9XnCccFgEFKptKHAklIfZrNZyAzVSyumr/mAKhwOCwFVvWr7UqkULMuKVoqHBlJLhGAwWLPScSqVotkoiiipVqvw+Xwwm82iVicvFArCsEYj+lXFYhGhUAgjIyOilm6YC6L/d3Cy5UD+PoDNAgMngmi/CiIZRKlUEszPxWBdsxTQ6XRIpVINTWBHo9GW6a/xgxGhUAjlcrnugGp0dBRer1eUexMNpJYItdaX8/m8qMsklKVLLBZDoVAQfXbG7/dDJpM1nG2JRCJgGEb05zkfhEhBNBcCmgtn/Jw/L5qF6jwOh6OhEl+5XG55ID80NARgX0A1NDRU02sQQiCXy9uypmYRX46M0nLqadKLxWIdNQOlUBaDYRhMTExAoVDA4XB0eznzkk6n4Xa7YbVaG5Il4M9TrVaLfvKwHqrVqiD10E/n1WtYrVaEw+FuL0NgaGgITqcT8XgcHo8HlUpl0ccMDw/PO8F34403YtWqVVi9ejXOO+88FItFHH/88VizZg3WrFkDu92Os846q9WnAYBmpJYEgUCgpi+wUqkkukifsrSJx+PI5XKi84+bDsuy8Hg80Ov1DWdbkskkMpmMqM+zEeLx+II+epTOodFokEqlRJfR4femQCCAarWK4eHhBUuQKpUKuVxuhvinz+fDLbfcgrfffhsqlQpnn302HnjgAbz44ovCMVu2bMGZZ57ZlnOgGaklAMdxNTXohcNhIe1KoXQTlmUxMTEBmUwmLnHG/YhGo/D7/XC5XA3LhXg8HgAQ9XnWC8dxmJychEwmE3UWcalht9vh9/trPr6Tn8eRkRE4nU5Eo1F4PJ55VeItFgvi8fisn1erVRQKBVSrVeTz+RkTful0Gs8//zzNSFEao9ayHsMwopyGoCw9EomE6LMzxWIR4XC4qab3fD4vWDaJffy/HlKpFJLJpHgsXigzsNlsQsP/QtQz6d1K+KEov9+ParU6pzyGXq9HKpUSxFtHR0dxxRVXCObWGzZswIYNG4TjH3/8cXz605+GXq9vy5rpztnnBIPBmrJMfr9ftBodlKUBn8UghIh6E/b7/UilUnC5XA17iwWDQWSzWYyNjfVVEOX1esGyrKiD4KWOWq0Gy7IoFosLHhcKhbpqQWS32+F0OhEKheB2u8EwjPA7g8GAdDo9ZYxdeQvx6Id44okn8PHHH8Pv9yOXy+EXv/iFcPz999+P8847b66XaQn9cwVT5oRl2UVVbXmtEPrFR+kWvZDFSKfTSCQSsNvtDRt58yKiNptNlBYvjZLL5RCNRuFwODqqok1pjJGRkUWn+GrZO9oNIQSjo6PgOA5+vx8MwwjelEb5LxB9516YzSo8+z8RjI8aYLHoQYgcmzdvxv/+7//i/PPPRzQaxa5du/DYY4+1bZ00I9XH1Cqm5vP5xG07QelbeOsTMWcxWJbF5OSkIEnQaBAVj8cRiURE65PXKIFAQJCl6PbGS6mdoaEhBIPBbi+jJviAyul0wu/3Y/Ld/4KKvR/5QhHgsnCNEuzc9QFywe+C4zg899xzWLFiBQDgkUcewRlnnNFWE3MaSPUx4XC4ptRsrc3oFEor4eUCHA6HaH0do9EofD5fU83k0xuv++mGpVgswu12i14clTI3KpUKhJB5zYXFeFNDCIHD4YDT9Cj8wQxKZQ6BUBXrjhzAljM0WHv8jfjEJ1aDZVlccsklAIAHHnigrWU9gJb2+hqGYRa9e65VGoFCaRUcx8Hr9UKj0YhWdLIVzeTAPp88MZcsG4E3kaWyBr3N0NDQvCW+VtjDtAvCJeGwy8FxHMLRqd6pa75uxjVfHwaxvQQiMQrH/v73v2/7emgg1cfUciFUq9WGSxUUSr3wgYWYe2n8fn9LfOB6zSevFiqVimAU3U/lyaXMyMjIrGGjSqUi7iEI+VFA+Q8gBBiyTlunxAIQQ8eXI+K/FKUZIpHIoh5JtRzTKGK+m6F0B6/XC5VKJdrAIp1OI5lMYmRkpKmbi172yVuIWCwmGDBT+gelUgmZTDbDHiwcDot6ipvovg4u/grAFQCwAAgAJYj+mq5kfmljTJ9Si3ptsVhsawMehQJMTXRNTk5ieHhYlPZD05vJXS5XU0FUJBJBMpnE2NhY3wRRvDiqQqEQ9eZKaRybzTbLPkbMpWgiPxjE/DigOguQHgQoPwViug9k4OSurIdmpJYoiUSirQ2+Yr4IKZ3D5/NBoVCINgsVi8UEC5NmPrMMw8Dj8cBqtTasLSVGkskk0um0aCcqKa3DbrcLE9y98F4T2RiI4f90exkAaCDVl0Sj0UXv/HO5HLVuoLQNXrVbrOWtUqmEUCgEk8nUdJaMV2JfSJOn1+A4rmn/QEpvoVAooFAokM1maWtGndBAqs9gGAYnnXQSxsfHsWPHjjmPSafT0Ol0HV4ZZakQCAQglUpFm4UKBAKCenoz9GuwkclkkEgk4HA4qCzKEsNqtWJiYoIOINUJDaT6jJtvvhkHH3wwKpXKvMekUik4nc4OroqyFCgUCkKTtVKp7PZyZsEHCMPDw01nyfpVyZufNOynwJBSHxaLBR988EFfaZ61G3q70Ud4vV48/vjj+OIXvzjvMdMnMyiUVhEMBpFOpzE+Pi66IIpvJq9UKnC5XE0HUcFgEPl8vq+UvPP5PCYnJ2G1WkU5EEDpHPyNdiaT6fZSegaakeoj/u3f/g3f/OY3F9R3icViNBtFaRmlUkkwxhbjBGirmsmBfT55Yj3XRgmFQiCEiLYUS+k8ZrMZExMT0Gq1PdF43m1oINXjBCfC8L4XwF88b8Jms+Gwww7D+++/P+expVJJlI2/lN4kHA4LHnligw/wzGZzSzIsvIaSGM+1UcQeBFO6i9PphMfjoWXeGqCBVI9SLlXwg3+4Gbt+8xrkSjnezL6CsMyHHTt2oFwuI51O4/zzz8cvfvEL4THhcJhmoyhNw2dmrFarKMvEfDN5K4IelmUFP7l+KnlFIhFUKpW+CgwprUUqlUKr1SKVSsFg6LxaeC9BA6ke5Wf/3/3Y9dTrKBcrKBcrOBCrMC47FOecuwmHbHThRz/60YwgimGYvunnoHQPMW/ArWwmB/YpnfeThhLDMPB6vTCbzW1zNaD0DyaTCRMTE9Dr9X1zDbQD2mzeozx5529RLpRn/KxcrODXd/x2zuP9fj9GRkY6sTRK8BedsAAAIABJREFUH1KpVDA5OQm1Wi06dWuO4+B2u1vWTA5MCYlWq9W+MhtOJBLw+/0YGxuDVqvt9nIoIiSbzc76bLhcLng8ni6tqDegGakepZArCv/OcmkMQAUZZCjkijjppJNw0kknCb/nxdX6ZUOgdJZoNCra/qBYLIZcLgen09mSz3ehUBB8xvpFS4cPNI1GIy3tUxYklUrNkj2QSCTQ6/VIJpMwGo1dWpm4oRmpHmXlMYcI/5ZBhhwykBE5Vv3NobOO5WX/KZR6qFarmJycxMDAgOg+P+VyGW63W9A8akUQFQ6HBTuUfgmi0um00DBM+1wojWI0GpFMJqni+TzQQKpH+cqtn4dKOwCZXAoCAplMCqVGga/8+POzjuU4jioUU+oiHo8jGAyKsgwUDAYRi8XgcrlasjY+YNRqtRgaGmrBCsWBz+cTjJhpNprSLGNjY5icnOz2MkQJ3V17lGVrDsCdb9yAz247BQetHcOWL5yJa566HAcdPj7juEAggOHh4e4sktJzsCyLiYkJyGQy0XkxZrNZuN1uDA4OtqzfL5FICAGjGCcQGyGXy2FychJDQ0NtNSanLC0IIRgcHEQikZjz9x6PByeffDJWrlyJVatW4eabbwYAPPzww1i1ahUkEgl2797dySV3DNoj1cMMj9vw5Zsuwp49R2DVqlXIZDLIZDIzfPSq1WrHyxQejwfnnnsuEokECCG45JJLcNlllwEAfvzjH+O2226DVCrF6aefjv/8z//s6Noo85NIJJDNZkU3pcZ72mk0mpZp2vDPaTAYRBcwNkMwGBS1zyFF3Cx23RsMBrjdbhgMhllVDplMhhtuuAFHHnkkMpkMjjrqKKxfvx6rV6/Go48+ii996UvtXHpXoYFUH2CxWBCNRjEyMgK32y0EUpFIpCsjzjKZDN/5zndwyimnzLigQqEQnnjiCfz5z3+GUqlEOBzu+Noos2FZFh6PR5TNyPF4HNlstmXN5MBUZisajcLlcvVNybtYLCIUCmF4eFh0Fj2U3iCZTNbUR+d0OjE5OYnx8fEZPx8ZGREyxTqdDitWrIDP58P69evbsVxRQQOpHiefz0Oj0aBQKACYkvaPRqOwWCwoFotdCaSml12mX1B33XUXrrrqKuGL3mazdXxtlJkkk0mk02nR9dHwop8mk6mlysqBQAAymWzWJtDLiFlhntI75HK5moZKCCEwmUyIxWLzitROTEzg9ddfx7p161q9TFHSH7djS5hkMjmjD0Kj0SCfzyMej4uiP2L6BfXee+/hxRdfxLp163DiiSfilVde6fbyliz8SDwA0QVRfDP52NjYjDJ1M5RKJUxOTsJkMvWNECWv7aXVamkfJKWj6PV65DJelGPfBhs+DmxkA9jcveA4BtlsFlu2bMFNN90EvV7f7aV2BJqR6nHmGke12+149dVXO3o3wHEc3tn1AdKxDFasOxgAZl1Q1WoV8Xgcf/rTn/DKK6/g7LPPxkcffSSqTXwpkEqlkEwm4XQ6RVXaymaziMfjGBoaaml5KhqNilaNvVHi8TgKhUJfnROld+DYLBzqr2DiowDGnX/9DsncgHL+dWw5/21s3boVmzdv7u4iOwgNpHqYYrE4p9loPp+HwWBApVLpSKN54OMQrtzwPSRDKRCJBJVSBad85QQ8+cZjMy4oh8OBzZs3gxCCo48+GhKJBNFotG8yBGKHb7DW6XSi2oDb0UwO7PPJs1gssFgsLXvebsL3s5lMJphMpm4vh7JE4QqPAGwK5kEgGmNgMUvBcXl84cv3YPmhm/G1r32t20vsKOK5HaXUzXw16nQ6jeXLlyMYDLZ9DRzH4Vun/wDBj8MoZIvIp/MoF8v4Pzf+ACa1ZcYFddZZZ+F3v/sdAOC9995DuVzumw1O7GQyGbjdboyOjoqi5MsTj8fh8XjgcDhaagqcSqXg9XpFqYPVKPw5uVyulpU8KRRg7srGgpR3AihCqSAIR6sAgJd2FfGLR5L43e+ex5o1a7BmzRo8+eSTeOyxx+BwOPDyyy/j9NNPxymnnNL6E+gyNCPVZ+TzeUEPR6PRzOmd1Eom9roR8UTBsfsuxBRiCDJuPP/c1AUFANdffz0uvvhiXHzxxVi9ejUUCgV+/vOf07JeB/B6vVCpVKLKQpXLZQSDQQwODrY0CwVMnW+rs1vdhOM4eL1e6HS6vjknirhYqHF8fxiGgT9sAvKAQs5g5aFTZfjj1qnABA8HGfw5iOLwGY/ZtGlTy9csJmgg1aOUy+U5zVljsZgwwm4ymeB2u9saSGUSOZRJEUWuCIADQKCCBkfj01h96Ep874mrhGPz+Tzuu+8+Gjx1iGw2i1gshtHRUchk4rnUg8EgOI5reVCQz+cRiUREd77NwL+HDocDUqm028uh9CmlUmnB6gDHcQgGg2BZFlKpFKMHfgmI7QBQmHaUDJA6APlhbV+v2OiPb5slCL9h8BBCUCwWZzXpTpdDaAUcxyEUCqFanUrnauwDkLMKDOwXHMkHFDjlnM/AbrcLP8vlcggEAgs+v1KphMlkosFWk/h8PiiVSlFlodrVTA4AoVAIAER1vs3i9/tF9x5S+pP5vm8jkQgqlQoAYHh4eMZwCmfaDi51JcBEALCA4mgQw4+W5Hc3DaT6BLPZjLfeegtHHHHEjJ9rNBrEYrGmnjsSiaBUKgGYuuBsNtuMJvav/PgLuPVf7ka5WAHHclCqFdCOqPHZf54pxKbRaKDRaBZ8rUKhsGiwpVAoYDabl+QFuxi5XA7RaBR2u100xrvtaiYHpiQA/H4/bDYbVCpVS5+7WxQKBYTDYYyMjMyZdaZQWs30Hil+IhQArFbrvJ9BovgkYHkOYEMAUYFIlq4pNg2kepBKpTKrdCGRSMAwzJzH2+12+Hy+msTWgJkXEsdxsFqtC2YQTr3oUzhgtQtP3PYU4sEkjv3sUfjEqcuh0ta/salUqkU3xFKptGiwJZPJYLFYRDXe3278fj/kcrmoMhi8MrnD4Wj5e9GPEgD9mFmjiJ9UKiX8u56JUEIIIKUaZjSQ6kHC4fCsoCgQCMxr5CqTyUAImVcOIZlMIpfLCf8fHByse7T60E8uwzfu+cqM9bQLpVI5o2Q4F5VKBaFQaMFpFKlUCovF0vO9J2LMYFQqFQQCARiNxpZnofgMl9ForPnmQOzwSu79lFmjiJtcLodkMgmO46b6nvrkWuoGNJDqAziOAyFkwVKX3W6H2+2Gy+VCOp1GOp0WjjcYDH13Ecnl8nkDS55qtYpoNDpvJg+YyvRZLBbRNi8Hg0FIJBJRZTD4ptR2TJhlMhnE43HRiYk2QzQaRblcFtV7SOlPSqUSotEogKlWi9HRUYRCIRx00EFdXllvI87dgTIvDMPMyqD4fD7Y7fZ5daP4O49kMol8Pg+73d5XjveNIpPJMDQ0tOAxDMMgFosJzfXzYbFYOpoNKhaLCAaDGB4enlOUtRvw/VlDQ0NtWVMgEBBd6bIZGIaBx+PpK8FQivioVqtCyVipVM66aWYYRrQ3ir0C/ev1GKFQaFamheO4GXfnhUIB8Xhc+L9arcbo6ChGR0fhdruXjP9RK5BKpYuaK7Msi1gsJky3zIfJZGpJgBEOh8FxnGiMd3mdo3ZpVfFBo91uF03pslmSySQymQzGxsbo0ASl5XAch0AgIJTt7Hb7vJ+zusU4KbOggVSPwZfxeAKBAMxmM3w+H/x+PziOw8DAwLylulbLIczFu+++i82bNwv9WB999BGuu+46xGIxPPHEE5BIJLDZbLjnnnsW7XXqBSQSyaI2NxzHIR6Pzwhw5zpmcHBQEFTdn1KphGAwKKo+mkQigUwm05ZmcmBqYrRarYomaGwWPujU6/WC3huF0ip4aRpCyCy5Akr7IN2IRteuXcvt3r2746/b67AsK2ykfKrW4/HgwAMPhM1mg9/vrykw4Xul2gnf/M4wDEZHR7Fz504MDg4K2bBbbrkFb7/9Nm6//fa2rqOX4DgOyWRSmJicTjgcBsMwGBkZgV6v77rtyfRm8nZkOPmyl9VqXVQyo1fox/4uSveJxWIoFosAMEuaphbqmeheyhBCXuU4bu1cv6MZqR6AZVkEAgH4/X6MjIwIOkGRSARr1qwRykUcx83KWM1FvXIIzfDcc8/hoIMOmlXyyeVytKSxH4QQDA4OzvDC46e5DjnkECFTlUql4Pf7F3wurVbbthJuKBQCwzBtC8ZTqRTS6XRflb18Pp/obHoovUsqlRImrU0mU8M+lXP13FLqhwZS8/DUU0/hsssuA8Mw+MIXvoCrrrpq8Qe1iOly/MBU6YjPNE0Pfkql0oyeG4PBgHQ6DYNhYWE0Xg6hWq22vcnwgQcewHnnnSf8/1vf+hbuvfdeGAwGwcCYMjfzTXMZDIZF3+NMJrNosKVSqWA0GmsOVnK5HGKxGGw2W9sa3HmfvH4pe+XzeUGuRCwCqZTeJJvNCnpPBoOhJW0RoVAIw8NUB6pZaGlvDhiGwSGHHIJnn30WDocDhx9+OHQ6HbLZLAghuOSSS3DZZZfhmmuuwV133SX0x1x//fXYuHFj3a+3v+0KX9+efqfANw/yF088HodSqZxV9qi1vAe0tsT38V43dj+1ByqdCid87hjkylmYzWbY7Xa89dZbs6bjfvCDH6BYLOLaa69tyev3E9VqFT6fD2azua0lvHw+j2QyueAxvGUP30zert66fvTJ46UpFhtWoFDmo1gsCs4UGo0GRqOxpc9Py3q1Q0t7dbJr1y4sW7YMBx54IADgrLPOQiaTwa233opMJoOjjjoK69dP2Z989atfxRVXXFH3a0QiEZTLZeH/i9W2+VF3nnw+X7do5v5oNBpks9mmNmuO43Dbv/4UT/30eTBVBlK5DLdf/nNceueFKGvyOPLII+eUGNi6dSs2btxIA6n9iMViHVPrVqvV8za28wQCAezcuRMOhwPlcnnOLJdcLofZbG647ycUCoEQ0jdlL34ooF0yEJT+plKpIBwOA8CCg0MU8UADqTnw+XwzSgsrV67Ezp07AQA6nQ4rVqyAz+er6zmnNwQCU7pD9Ri3Tpc4SKfT0Ol0db3+XJjNZrjd7qYCqVeffQNP3/M7lApTQWG1MiVueeMlt8N4mnRGWe/999/HwQcfDAB44oknsHz58iZW31/wzdVms7nhfodWwnvYGY1GHHPMMQseWy6XF1WRn8uyp1KpwOfzYWhoSDRTiM3CTxn2S1BI6Qx8Hywwda3Q4Km3oIHUX4kHE/jN3c/B844fSVUE1crcAowTExN4/fXXsW7dOrz00ku49dZbce+992Lt2rW44YYbhEbh/W1XmmkI5JvIedLpdMsENc1mM2KxWMNre/be36OYKwnr5PttGMLg6aefw13b7xKOveqqq/Duu+8KStx0Ym+KeDyOXC4nmuZqvsxcazCgUCgWVZHf37KH98kbHR1FIpFAIpEQZCR6sfmVL8daLJa+mTKktBe+pYNhGKEPttPXvxi+b/qBpgMpQogTwL0AhgBwAO7kOO7mZp+3k7z36oe44uRrwFQZlIsVFAbSeL+6F5/f/W8ITUYQ0k5i7YbDkc1msWXLFtx0003Q6/XYtm0bvv3tb4MQgm984xvYtm0bbrjhBgBoqQ9YKBQSymO5XG7Rckw9aDSapgIplp3aGLNcChJIoMZUpkxGZHjqv387oyn6V7/6VfML7iNYloXH48Hg4KAomqv5PqV26FTxlj0cxwm9eftPFdZi2UMIgcViEVXjdjweRz6fp1koSk1Eo1GUSlM3n0NDQ13rCSyXy6K6jnqZVryDVQCXcxz3GiFEB+BVQsizHMe93YLn7gg//KfbUMjuK7spC1pkkMK7b78HJVR4J7cXAw/r8Kk3PoOt/7gVmzdvRjabRbVaFWxZLrzwQpx33nltSclOl/DndWhaSTNyCJ/8u8Pw5ONPQllQQU72qU6zVQ5rPrW6lcvsKxKJBLLZLFwuV9fvCjmOg8/ng1KpbGswkMlkkEgk5j3nWix7WJZFNBpd0LKHEAKz2dx2FXQ+KBwcHKSWS5QFSSQSyOfzACAaS6BIJNIXgshioOlAiuO4AIDAX/+dIYT8BcAogJ4IpNKxDLzvB4T/sxwLCZHgUG4NXseL4MBhBGN4v/gWdB9pcc4558Dn80Gj0UAikQgljYceegirV7c3cCiVSnX1VdUKH6TVI4eQz+cxMTEB+2ob/u7vP4sXf7UT5UIZMoUMEgnBF275B6g0tNF2f/jN12AwiCILlUwmkU6nMTo62taSms/nw8DAQNNTorVMwXXCsieVSiGVSokiEKaIk0wmg3Q6DWCqQjFdH04s0M9ua2hpTpEQMg7gCAA7W/m87USmkAHT+o/KKGEAKljICCwYQZErIIU4PsLbyGUMOP300wFMSR3cf//92LNnDwghGB8fxx133NHy9YXDYWHjCIfDbdt8eR++xTY6lmXh9XqRTCbhcDhgMpmw6p5VOPPSU7Hzydeg0atx0rl/izKKCz7PUiSVSiGZTIpi8+V7eoxGY1tV7ovFouAP2SmfvFZZ9gBTG+D+pXRe66rd7gCU3mO6z6lOp6NN40uElgVShBAtgF8B+DeO49Jz/P4SAJcAENUXkFqnwpqTV+P15/eCqTIgmNk0LYMMJljxGfI5mO2DeGDPncJjG9GMqpdKpQK5XI5qtVpTxkCpVKJYLDZ0p72YHEIwGEQmk4FCocCKFSuE+johBMuPPhjLjz5YOHYxMcilBMdx8Hg80Ol0ouijCYfDqFQqbV9LJBIBwzCiOOf94ct/C8Fb9vBaW7lcDtFoFKOjoygUCigUCuA4DgaDoeuWPZTuUS6XEYlEAEyJ3NLgaenRkkCKECLHVBD13xzHPTrXMRzH3QngTmBKkLMVr9sqvvHzr+Dyk69B1BeDklEgW85AyanAMixkRI4il4dWrcP53/n7rq0xEAjUlI0ymUwzhDvrYT45BN6pnhACvV6/aB8LQFPGPOl0GolEQhT+avl8HtFoFFarta1yA/3ikzfdsof3FeTlO6aTTqcXvXHQaDSLqtFTeofpcgVyuZwGT0ucVkztEQB3A/gLx3H/t/kldZ7BISPufutGvPHC2whNRKAbVSHyXgI/v+Yh5JJ5mPVmnHX5KTj9i5/p6Lqi0SgsFktN/nk8zQYwJpNJmOIrFosIh8PQarVgWbYt01z9jMfjgUaj6XpGZnozebuzwXwT/fj4eFtfp1Pwpcnh4eF5+xP1ev2ivobtsOyhdJbp1l3dkitoFfl8nn6Xt5CmLWIIIccBeBHAmwDYv/74ao7jnpzvMWK3iOEn2DiOQzFfwoBaCY/HA6fT2dELh1+H1+vF6Ohoza9dj03MXExOTkIikUCpVEImkwl6P3Nx8cUXY8eOHbDZbNi7dy8A4Otf/zoee+wxqNVqHHTQQfjZz37WcmsDMZPJZBCPx+FwOLquiZRMJpFKpdq+Fo7j4PV6odPp+ua9DofDYFm2Y15k9Vj29OoG3ovwpXBCCIaGhrp+TbcCag1TPwtZxFCvvTkoFovIZrMzRlT5PpdO9nfxH3Y+iKuVZgKpcDiMfD4PmUwGhmFgMpkWVFF/4YUXoNVq8Y//+I9CIPXMM89gxYoVcDqduPLKKwEA//Ef/9HQenoN3pOu2+rkfDO5wWBoe2DD9w6JIXBsBbzius1ma6lmWysoFouLNsg3a9lD2ScYCwBWq7VjgxKdggZS9UO99upkYGBAMIrkIYRAoVC0TYJgf+LxuNDvtJhqdCtIp9NIJpOw2WwYGBjAW2+9hbVr1y4q2HbCCSdgYmJixs82bNgg9A8cc8wxeOSRR9q1bNEwvRG526a74XAY5XK5IyXFYDAIqVTa9fJlq+CtnMRamhwYGFj0JqkWyx6pVAqLxdIXgW+rSKfTyGQyAIDBwcGmvUwpSwcaSNXB8PBwTRIBraBYLMJkMiEajbZ1Yy6VSgiFQtDr9XC5XPD5fFCpVDj22GNbcq4//elPcc4557RoteLE7/dDoVB0PZjglcmtVmvbMynlchmBQKBvjHl5lflmrJzEQq2WPZFIBCzLzntML1v21EoulxPKqVSugNIoNJCaB5VKhXw+P2tD0ul0SKfTizaXNgvHcQiHw4vq4TTz/D6fD3K5HC6XC4VCAW63GyMjI0IWSq1WI5fLzZi8YqoM/vDQ/+IPD78MtV6FjV/4DHTOuZsWv//970Mmk2Hr1q1tOYduwwcundRImg/+vexEMBeLxVAqlboeOLYKfipVDPpenUIuly/a+9Wrlj2LUSqVEI1GAUx9x9HgidIsNJCaB5PJBJ/PNyuQGhwchNvtbmsglUgkYDQaEY/H23K3H41GhQZyiUSCUCgEQsis7JPFYoHb7RYCKabK4KpT/h3v7HofxVwJhAAv/monNnz5uFmv8eCDD2LHjh147rnn+nJzCgQCoihp8Qrbdru97SVFXpW9H7I2wL6+R71eLwqVebHRKsseYEpapRMtEfPBMAwCgYDQorGUg6d0Or1g3yulfmgg1QBms1koobSDfD4PjuMartFLpdI57V4ymQySySTMZjMsFgsqlQo8Hs+CsgbT5RBeenwX3nnlAxRzU4abHAeU8iU8esuTYMb33bU+9dRT+K//+i+89NJLomvWbZZCoYBwOLzgOHwnYBgGXq8XBoOhI6VmvoeuX7I2/GSlGPS9eplaLHs4jkMsFpvVd7o/zVj2zPe6gUAAHMdBKpXWNfncz2QymSUdSLYDGkgtwlwaThqNZtEvhWbJ5/MNB1IWiwXRaFS4m6xUKggGg9BqtcKdN99Uu1hGRavVIh6Pw2w243+feAXFv5o7sxwDCZHiTW4nkuUIqh9U4HA4cO211+IHP/gB8vk81q9fD2Cq4fz2229v6FzERDAYBCGk61moSCTSsWZyYN8kopgcCZqB9/3r9vu4VODLfwtRi2UPx3EYHBxc9OZsulzB8PAwDZQpbYcGUgswMjIyr0q43W5vywhpKpUCIaQpywmpVCr0Nfj9fhBChACqkabakZER+Hw+6Aa1kEgIWJZDBikYYMInyDqo9Spc/d+XYd3pRwEAPv/5z3ds2rATlEolBIPBrjdWFwoFRCIRWCyWtmVD93+9cDgMu93eUz0w88Gfjxh62igzqdWyh/er3B/+xhAAli1btmiWjEJpJTSQWgCJRDLvCDFfNpurhNYMuVwOLMs2bScRi8XAMAxGRkaE9aXT6YYc6/lNdP0/nYjf3P0civkSpj9aKpPiyPWHNbVescKLMnY7ezF9MKAThMNhcBzX9fNuFaFQCAD65nyWIoQQGI1GQRctlUohm80CmAqe+PaEWi179Hr9kiz1+f1+nH/++UJv7CWXXILLLrsM55xzDt59910AUwMYRqMRe/bs6fJqewMaSDXB6Ohoy+UQcrlcU428uVxOaFKf3kDr9XqhVqsbbqodHR2Fm3HjyzdfhBv+5TYY5INQERXkShm+/+S3IFf0fsZiOvx4fyekBBaCvwPvlD4VL+TZ7fNuFfz7SO2N+oNsNotUKgUAMBgMc1YEarHsyWazgtbdfPSrZY9UKsUNN9yAI488EplMBkcddRTWr1+PBx98UDjm8ssvp96QdUADqUUwGo1IJBIYHByc8/dqtXpOmYRGyGQyqFQqDfVGMQwDv98vBEv8HRk/ot+KjVitVuPE847FwX87hr/s/ABOlwOHnbASUll/6cxEIhFUKpWuZi+mN5N3ah28T16/ZG2i0WhHe8ko7aFYLAo9qRqNpiXtFFqtdtH2iUKhsGiw1WuWPfF4HMuXLxf2K51OhxUrVsDn82HlypUApkqoDz30EJ5//vluLrWnoIHUImg0GiSTyXkDKYvFAo/H05JAiu9/qZdAIACWZWdlm0KhECQSScs2EovFgr1798LlckGzQdOUn58YqVQq8Pv9sFgsM7SzOk0kEkGxWOzYhBwvA2AwGPpCBoBhGLjdblit1oauJ0r3qVarwnCHUqnsypSZSqVaNItZLBYXDbbEZNlTKBRm3KhPTEzg9ddfx7p164SfvfjiixgaGsLBBx/cjSX2JDSQagEGg2HBrFWtRCIRHHjggTUfn0gkkMlkZohoAlPljMnJSRxxxBEtb46Wy+WoVCotfU4xEI1Guy4yyTdDW63WjjSTA1Mljlgs1jcyAPw1MT4+3jNZAsoULMsiGAz2lFxBrZY9fK/lfLTTsofjOKD0NLj8g2ATSbDGc0HUm5DLlbFlyxbcdNNNM0qh999/P84777yWr6OfoYFUDSzmsafX6+HxeJoKpFKpVM0in4VCAdFoFEajcVZ/1nTV6VYHUSzLQqfTIZfLdd1PrlXwPUG8tla38Pl8kMlkHQ3kAoFAx1+zXfBioXNdExTxwnEcQqEQGIYBIQQjIyOiD57qRaFQLKoiX6tlj8Viqfu7l0t/Byj8D4ACUKkC2Y9QzjyBLRdGsXXrVmzevFk4tlqt4tFHH8Wrr75a12ssdfpjN2wzVqt1UakDm82GUCi0qBLwfLzzzjsz0qtzwbKsoOmzfwlmf1kDv98/pwZWMwSDQYyMjKBareKNN95Y8E5sIcNUsRCPx5HP57saSHRSmZynVCoJ8hTdFBVtFel0GolEom+yaksBPgMMAENDQ31zY9YotVj2MAxTt2UPV/0QKDwOoCQcw7F5fOFfn8Lyg0/G1772tRmP/+1vf4vly5fD4XA0fjJLkKX96W0hSqUSpVKpoeCllseEQiFUKhU4nc5Zx/Kb8fSeGpPJJAhptgp+nXK5HAzDtFz6oVOwLCtYnXTrC6PTyuQ80WgUlUoF4+PjHXvNdsJPo/ZDVq3fSSaTyOVyAND1DHAvIpVK67bs4QpPg8tUAUz9Xy4HXtpVxC8eSeATK/+INWvWAACuv/56bNy4EQ888AAt6zVA7+2CXWSxgMfpdMLr9dbdsPvBBx9g2bJlc/4ulUohnU7DZrPNmT3wer3QaDSzNuOBgYEFVYLrZf/So8PhgN/vnzcIEGt6fvoYxQwBAAAgAElEQVRkWrfWyHsddtJuhc9Y9ssGlsvlEI1GOyYLQWmM6XIFRqORWpO0mf0te7jiAeBSAwC3L4tls8jABFYCmm2Q6L4y4/H33HNPp5baV9BvoBoZGhpCKBRaMP3KZ2sW6qeai3g8PmtColgsIhKJzGuo2umNJJvNzvoSVKvVyOVyXZ1wqxU+kDAajV2bTCsWiwiHwx0PZubKWPYy/dTb1Y8UCgUkEglwHAetVkuDp26iPBnAXA3sUhD15jl+TmkEGkjViEwmW7A2zTM8PFyXSOf+Viocx8Hr9UKpVM674QeDQUil0o5tJCzLzrkBWywWuN1u0QdSyWQS6XS6q4GE3++HVCrteCP0fBnLXqRYLAo3M/3Q29VPVCoVhMNhALVNslE6AyEDgOnn4BJfArgcAAKAgBh+BCKl71GroIFUG9DpdEin0zVN4eVyOcHyIBwOo1QqweFwzLnh8yrNnfZ845vM52JwcBDxeLxhg+V2wusj6fX6rgUS6XQayWRylkRFu+GlFPql9BWJRFCtVmkWSkSwLCtoKMnlcpp5EilEvgqwvgBU9wJcBZB/AoRQr8lW0vvfsB2k1gBpcHAQbrd70ePC4TAkEgkUCgU8Hg8sFsu8ZpvdVGleqDdMp9MJjdtigrdW6dYkF9/Q3ulmcgCCh1Y/BB3VahVerxdWq1X0mc+lAMdxCAaDYFkWEokEdru9L8rF/Q4hEkDen36oYoDOCteBXq9HJpOp6Viz2YxoNLrgMZlMRtAOcTqds1R0b775ZqxevRqHHHII7r777q6ky2vRtxoZGVnUJLRT8HpCvNFwN4KoaDQKn8+HsbGxpkVa66FSqWBiYgI6nW7egLyXiMfjCAaDGB8fp0FUl4lEIvD5fPD7/bDZbBgdHe1LzScKpRFoRqrF3Hjjjdi+fTsIITjooIPw4IMPzirDcRyHN998E0qlEgcccIBQ2pvO3r17cccdd+Dxxx/HAQccgNNOOw1btmyZd7qvXczVZL4/crkcLMuCYZi2KPPWSiaTQTweh8Ph6Mo6+B4ei8XS8ck4XhOrH2QN+MGAwcFBqmfTRRKJBPL5PICpfkjal0ahzA3NSNWJVCoVNDr2x+fz4ZZbbsHu3buxd+9eKBQK/OQnP5lxTDQaFfSDtFrtvJmDF198EUceeSQOOeQQyOVynHjiiXj00Udbfj4Lwafva2F0dBRer3fO3xWLRRx99NE4/PDDsWrVKnz3u99t5TIBTDVV86XPbgRRPp8PyWQSY2NjHc2ecByHyclJSKXSvgg6UqkUvF4vXC5XzUr/lNaRTqfh8/ng8/kEj7vR0VEaRFEoC0AzUnUyNDQEv98/b5amWq2iUChALpejUChgaGgIDMMII8FmsxlyuRyEkDnLhLlcDpFIBMcffzxuvPFGxGIxqFQqPPnkk1i7dm1da9VoNMhms4u6nM/HQk3m+0MIgUajmVMOQalU4vnnn4dWq0WlUsFxxx2H0047Dcccc0xD65oO7xXXrabqbjWTA/3lk8dPq2q12r6YMOwl8vk8EokEgKmeR9o0TqHUBw2k6mShnoDR0VFcccUVcLlcUKlU2LBhA84++2zs3LkTy5cvF+QMvF4vhoeHhbQ5z3tvvY+9f3wHVqsNa085HFdeeSU2bNgAjUaDNWvW1J1p0ev1CAQCDQdS9aq0zyeHQAgR1lCpVFCpVFrSW8HfNXejqZq369HpdF3Z+AOBAORyeV80lGezWUSjUTidzq6WhpcS5XIZkUgEwJQeHA2eKJTGoYFUkyRCSfzqph14/bm9eDH4DP4SeBPLli3DG2+8gc9+9rO4/fbbkclkcNFFF0Emk2HDhg349re/jXA4LGR7SqUSfnnjw3jw2v8fCrkChBBwHIfv/uoKwTzy6quvrrt000ywkkwmYTAY6n4cL4ewPwzD4KijjsIHH3yASy+9dFFfwYXgxUjtdnvHs0DAPmXyuex62k2/+eT5/X4oFIq+6O0SOwzDIBgMAqByBRRKK6GBVANYLBZEIhGQihT/vOYK/Cn2e4RZPwAOJukQ8ukCgsEgzjnnHDz++OPI5XL49a9/jWXLlmHPnj0wmUzw+/0ghCAajeLjtyfxyPd+A6bEolAqCq/zzbO+h8eD9yGaiODRRx/Fn/70p46dYy6Xa+iLlpdDkMvlgnExIQRSqRR79uxBMpnEpk2bsHfvXqxevbru5/f7/V3LxJRKJYRCoa7ZrPBaSv0QdPA6VyMjI1AoqKZNu+A4DoFAABzHUbkCCqVN0ECqAZRKJcrlMh75/q+RTeYxzLowigPxBl5GmkkgH5JhZHgEv//97+F2u/HDH/4QNpsNwWAQo6OjYFkWHMdhYmICxWIRF1xwAbx5HwBgFAfARabsYl4tvYAVy1fAaDHgtttum3O6rx0wDNNUzw2XJ/jmRdchsDsOqUyKk879G1x600XQGDQwGo04+eST8dRTT9UVSHV74w0EAiCEdKWMx7IsJicnYbVaGy7TiolQKAQAfVGWFCvhcFgooQ8PD/d8Dx2FImZoINUEu5/6M5gqAyMsiCEIAoJBWBFg3Dj00OVYc8ThKJVKePLJJ/GNb3wDpVIJP/rRj6BQKKDVauF0OpFMJvHpNafiTfd7qKKK1/EidNwgBokFfzOwAduu+Sds/OJnOnpeoVCo5ibz/ckmc/ja8d+BN+6BjjWCZVg8/cvn8O6e97H9tZtQLBbx7LPP4sorr6z5OYPBICQSSVc23nQ6jUQi0bUAjvfJGx8f7/lMQrlcFnSI1Gp1t5fTd8RiMRSLUxltq9VKM30USoeggRSmMjBr167F6OgoduzYga1bt2L37t2Qy+U4+uijcccdd8zqxVGr1VCblCh9XAQHDmroQEBgxzjSJIFXd74Ko9WA1atXo1KpYOfOnXjyySdx4YUXwmQyCdpSH330Eb50wTaoNCrszr2AMkp4B69hLXcSFKwcnzztiI7/PeptMp/OMz//PUqFMpTsAIrIQwUNcuUsHnnjPrx48FNQDMhx9tln44wzzlj0uYrFIoLBIIaHhztqiQPs0zLS6XRdy5x4PJ6+mWKLRqMolUp9UZYUE6lUCtlsFgBgMplgNpu7vCIKZelBAylMKYivWLECfr8fa9asEWxgPvroIygUCmzfvh3btm3DDTfcgCuuuAKRSAQymQzWwwbxwWsKSCBBgcuBQAKlRAXFgBzZUgYGTg+Hw4HNmzfjww8/xOGHHw6VSoWHHnoIhx12GBjm/7F33tFRFdrbfs70kt6TSaNXQYqgqGBFr9hFwY6AKBZAFPWKXLErIIjip94fgigqehUvTb1orCACQToYpKTMpM1MMpNMb+f7Y5wjkaA0CYHzrOVaJpmcOWcSct7Z+93vDmMymbh30lhu+2YkSbtTcQcbSSWTCtWvPDX5adJzj+8fxsM1mQcCAerr66WFzj+v2USD24kfH8rffr3ihSTO1V/Gvf+8g3+MuvCQjltbW4soii1y47XZbHg8nhZbcuzxeLBarSfFnrzYqpyW8pWdjLjdbpxOJ6IokpCQIJvGZWRamNb9V/oYYDabWbFiBZMnT2bmzJl8++23AJLIGTJkCGazmYqKClauXEleXh4lO3ax4MGP2blhFzqarnUREEhKTyQ7O5uKigrOP/98li5dyu23345CoSAYDLJz1a+8Ofp9dpRuRScY0QtGqoIVKEwwvO0ttMltz1tFc7h58nXH7XUQRRGn08mvv/6KyWSioaHh92v6bYpwf2KeIZVKRWpqqnTD73N2LzYt30mD24FW0O93DCjo+tdTh36/n+rqajIyMg5YmfN3E3vulrzpn0x78hwOB42NjRQUFLT6tmRL4/f7pZVTBoOhRdZFycjINM8pL6QmTJjAtGnTDgjHLCoqom3btqxYsYLZs2czYcIEJk6cyJ133snHz6ygfLMFQQSR39tgPjysi3xNqDyasP34449zxRVXMH78eIYPH47BYOD6825i7qT3iXhESthBoiKZMb0eZF/DPqZNm8bEiRMRRZGZSc8e8TX5fD4cDgeRSASr1UogEPhLv0Qs6ykvL4+srKxDep7mfFSDbxvEe09/gssrwG/aS61VUdg9ny5ndvzT49XW1hIOh1tERMSEYUsJmGAwKPmHjreAPNaIokhFRQUJCQlSdprM4RMKhaiurkYQBCllXEZG5sTjlBNS3330I+89t5j6qnqUbcLoCw306dNHqkTFWLRoEQADBw5k7969JCUlMXjwYAQEtny3E0VIiQYdfnyUiJtwYCNCGBVqLmx/Ge+tnkcoFCI7O5vn/vU827/5FavVytJ/f44uGIcPFzYqaRfpRrHze0Bg4sSJQFTUCIKAx+PB4/EQCAQO6xrtdjvjxo2TqhvDhw9nypQpTJkyhSVLlqBQKDAajTgcDsn7tXfvXh588EEikQhz584lPT0dgOeee47LLrusyfH/bKeeMdHInHXP88KYlyn5fh8qtZILbz6XMdNvO2hVIhAIUFVVRXp6+nE3Icf287XkGH5dXR1er/ekqELFXs+TIW29Jdg/rkCpVGIymeRqnozMCY7wx5bN8aBv375icXHxcX/ej2ct5+0pi/B7/ADsFrdRLZQRlxhHMBjAF/Jz3XXXMn/+fJKSkhgwYABz5szhtttu48svvyQxMZH8vHw62c4Af/Qm4RM9+PGhQhU1nesMDBp5JsPHX0tcXBwfzP6YFbOLECPgDXtQRBSECFKHFRtVFNCRLaxBgYJ2HdqhVqu5++67efnll/noo4/o1q3bYRutq6qqqKqqonfv3jQ2NtKzZ0+WL19Obm6utL/slVdeYceOHbzxxhtSG3PJkiV8/vnnxMXF8dBDD0nH+6MZ//bbb2fDhg0oFAo6duzI22+/fcBYfiw08q+w2WwEAoHj3qqIVU3i4uJISUk5rs+9/zmUl5eTnJx8UuyVs1gs6HQ62fB8BNTU1Eg7PLOzs2URKiNzgiEIwgZRFJvd03bK/GsN+IO888SHkogCaC905xyG0Nt1Pu3cPUkMpZK6r5B7770XlUrFwoULCQaDlJaW0rNnTwoLC6msquTH4Er8YnTMWEQkUUjBKCQgKAWSMhKZ+Nz9dOzYEQ06ls8uQhnQoAppUEe0GIUEEoVUGqgnmTRSyOQiYSj92p7NyJEj2b59O263m+uuuw69Xs8tt9xC586d6dKlC2vWrAHg1VdfpXPnznTr1o2HH374gGvNzs6md+/eQNRPYbPZGDlyZJOb9aJFi3jrrbeAaBuzoKDgoLlOMTN+jCeffJLi4mK2bNlCfn4+c+bMOeyfRygUoqysDJ1Od9xFlN1up6Kigry8vBYTUY2NjZSXl58Uy3k9Hg+lpaVkZGTIIuowsNls0oLglJQUaUGwLKJkZFoXp8y/2JrS2iYfe0U3ftGLX/TiDbkJEiAUDrJ14zbmzp2LTqfj0ksv5dZbb+W+++6jtLSU0tJScnNzWbpoGQnGRAIKH1r0IEBA6eWG+67l2RX/JC4xumvui/e+Qqc80O8SFkM4sJJHewJ4ieiCPDX9Sb788ks6dOjAV199xaOPPsozzzzDwIED+eWXX9i8eTNdunThm2++YcmSJWzevJnt27c3qRw1xxNPPEEoFJLCPCdPnkxmZiY7duyQWlmLFi3iiiuukHbkzZkzhx49ejBy5Ei2bdvGihUrGD16tHRMrVaLVqtFFEW8Xu9htx7sdjvV1dUUFBQc14BJv99PeXk5Wq22xSbyIJrOHggETgoTdnV1NS6Xi8LCwhZZ19PacDgckniKi4uTxJP82snItF5OGY9USlYSoWBY+liLHj9eNGhRCioSxVTiSSTgC6BRaPnhhx+aVApivoVwOExm5zTGvT+C7z5YQ01ZLXk9shn5yG3kFppwOBxSfEJYDKNSqAgRJigGUBP9Y6kUVJynuAqtXkNQFWDSa/dz2jmdmN93PllZWWg0GpxOJ2vWrOHFF18EQKPRoNFoeP3113n00UelPWsZGRkEfAE+nrmM/739LWIkwoW3DOSGSVdRbi7jlVdeYezYsZSUlNBY7+LKc67jq/8Vcf5F5zFz5kwCgQBLly7lm2++AWDs2LFMmTIFQRCYMmUKl19+OZ988skBZvyRI0fy2Wef0bVrV1566aVD+hmEw2EqKipITU097pWLlkwmj+Hz+aSw09Yelhjb+dcSGV+tDZfLhdPpBCAxMVE2jcvInGScMkLKmGjkvGED+O4/awh4AygEBXqMBEQfITGEGg0hBEDk2ra3Eh8ff8DIvyAIrFu3DrfbTWZBOtc+dBlqtZrU1FRcLhcbN25Ep9NRX19PUlIS3Qd15p0nPiQohvDjQ4uOkBhErdfw2PvjSUpPICMvjYgYISMjA4je8AOBADabjfT0dCZOnMju3bvp06cPs2fPZteuXfzwww9MnjwZnU7H9OnTWfTwCkrW7ybgDeAWG/nvU+8z8cX7cQbrUCgU2O12KvdUM9w0hnJ2EwmH2VNfSygU4vPPP6dbt25SW2/P2nIef3wa1aW1NKZYqa+rP8CML4oi8+fPJxwOc//99/Phhx9yxx13/OnrX1dXh9vtPu5VmJj5OSsrq0WX/Fqt1habSDzWWK1WgsGgHK75J/h8Pux2O4BUeZKRkTk5OWWEFMCEN+9CpVFRtPB7EARCgRCasI6wGCbwm9DRG/T0v6ZXk0m1vXv38tRTT2GxWFi2bJkUFPnOO++QmZkpPU4URfx+P/X19fz000/079+fO6ffxv9NeheRsFSRGvrAELr0i+7TCwaD7Nixg5qaGpRKJY31LsLhCNtLtvLzzz/z2GOPUVBQwGuvvcbkyZPx+XxUVFSwePFiSkpKuOaqa+nVOIiANzrZZxTi6SdeyEb/9+SZ8vEGPWQlmPj81y9RhuOoYC99GMS2fRtBhA8++ICrrroKQRD45sPVPHvHSwi+6ETelsafceEmJzOHiBChoaGBW265hWnTpgGgVCoZPnw406ZNO6iQiiWEJycnH9dR+JiROy4urkXFS6wKl56eLrVOWyuhUAiLxUJaWlqrv5a/g2AwiNVqRRRFdDqdLJ5kZE4RTqmpvRg+jx+Xw43T2sCkC58kFAgR8AUIq4N06NWOl4ueQ6ONip7YRNvatWspKSkhPj6eNm3aMGvWLACp9bY/TqcTu91OZmYmRqMRe1U9S+d/TqIxkbOu7Et2m8wmjxdFkQ2rNzLh5klsrigGBJKNKQQMXs7o15dt27YhiiIej4dOnToxfvx4BgwYgNvt5sy+Z9HG1R1lREWEaOvSTSM72SAdXxAEEKPVNhEQiAaHRoigEBRUmCvIycnhpoK7+ab8cxpxICCgw0AXetO5Rydumn0FM2bMYNmyZaxZs4YBAwYgiiKTJk0CYMaMGU2uqaqqCp1Oh8vlIjc397hWoex2Oy6Xq0V9UPB7IOXxvv6/g/r6elwul5wL9QcikQhVVVUAqFSqJm+sZGRkTh7+bGrvlKpIxdAZtOgMWtJyUni//A1WLV6LzVJHlzM70LZ3PpVVFvLy8lAqlRQVFdGuXTtyc3OprKykY8eOpKamcuaZZ/Lxxx83e/zGxkbatm1LWVkZRqOR1OxkLhlx3kGn00LBEI9f+xwbrD9xFpegFJRscf2E2+3moQcm0bZDG2bMmMG3335LWloaW7ZsYejQoezatQulSkmW3oTfE8AnehGAJCENE23YIRbTq08vfA4/P+9ZT3f6RQNEUSAgsJrPeHXa/6OyspKKigr2Vuwmn/aAgB4jaiHq4zHvqpTOVRRFxo8fj8/nQxRFevbsyeuvv97kekRRpKysjM6dOx/XG28gEKC6uprk5OQWrUKJoojZbCY+Pr7VC49YZS8pKanVX8uxQhRFqquriUQiKBQKcnJyWr1QlpGROXJOSSG1PzqDlotuGdjkc/Hx8VLG0KJFi7jqqqvYuXMnnTt3Jjk5GYB58+YxbNiwA47X0NDAZZddRn5+Pp988gnPPvss8+fPZ8+ePVit1mZXj6z7bCNhL0SIECGMIApECFGo6sSoEaMwJOnJysri9NNPJyMjg507d9K9e3c0Gg3vLFzAmzcvwu+JtvZEwC/6iBCmFgvBsl50u7gLG/eth0i0EhXE/1ttCi64/Dw6de6IKIqYUvNosLsOOL/UnBTOO+88zjvvPACWLFlyUFHodDpxOBzk5+dLk4LHg1hVoKUX/LrdbqxWqyTEWzMNDQ3U19e3eGXvRCG2JQAgMzOz1e9BlJGROTbIfwmIvsPc8v0Oiv+3mfgUIxfceA55eXlYrVYWL17MqlWrSE5OlkTUs88+i0ql4uabbz7gWDNmzKB79+40NDSg1Wrp168fQ4cO5aKLLjro89eW21CHNOTTnh9YgQIFaWSRHSrk2qFDWFf/HcuXLycYDPL6668jiiJ2u534+HjsZQ5CwRBhMYwSJWHCgEgjThJIJj+7kOfffJqqtXV4qv34vQF0ggF0EWZP+n906hxd2yIIAjc+di1vT2mataU1aLht6g1Nzre5m2os4DI+Pp6CggJJ2PzduFwu7HZ7i5vJIRoFoFQqTwoTttlsxmAwnBTm+KOhvr4ej8cDQFpaWov/jsnIyJx4nPJCKhKJ8NT1L7Fh5WZ8bj9qrYp3pn7EhLfGsK9hF2eccQZ2u126obz99tssX76coqKiAwTF7t27+fbbb5k6dSozZ84E4OKLL6asrKzZ57aa7az4v6/YsfoXAmEfdmo4g/NQoKKEjVg1Zrqe1Ymx14/Abrfz6KOPShNyRqMRp9PJP699CpfLRYgQOkFPWPQCUE05edq23PDQVRji9Tz/xWQ2rdjJT8s2kJyVxNX3/4Ow0Y/dbpeiCK6bcDnhUIQPnl+M3+3HkGjgjqeHc/Gtg5qc9x99dbHKxfFcCxITbkajscVv9rEVN5mZma0+CsDtdmOz2TCZTKdsxaWxsVFa2p2UlCS9gZKRkZFpjlPzL+V+/PDJWklEAQT9Ifyil+mj55B4qcCll17K2WefjdPpZOHChUybNo3vvvuu2Z1w48ePZ9asWQdkLhmNxgPEx441JTxyyTOEAyGCgRBWoQo9Rgwk4KYBk6oNbr2TroPaA5Camsoll1zC22+/LU3IuW1evLUBRET8eFCLahQoEBGpo4bH7/kXF90abVvqjXqum3A51024HIjGEeh0OmlMOzU1FUEQGDbpKq5/8Aq8jV708fq/FEYtIWbq6uokE3tLp0Db7XZ8Pl+Li7ljQWVlJWq1+qS4lsPF4/FQX18PyHEFMjIyh8cpL6S+evc7SUT9HoOgR6VQ8cUXnzFz1kxUKhWpqalMnToVj8fDhRdeiEKh4Mwzz+T5J19gy3c7WL9jHWmpac0uQA4EAgiCIPkrRFFk2u1z8Ll80mO0ET1O6tAn6Igz6qhMaOS2UaOoMFcQCEZ30X311Vd07txZ+h5BEAhHQgTwo0QFCGgELT7Ry3XtbuX+mXce9Lq9Xi8pKSkYDAbsdnuTypRCocCYePDxdkEQpHym3Nzc4+YF2t9M3tJeqJgJOyUlpdWvRfH5fFRXV5OdnX1Kta4CgQBWqxUAvV4viycZGZkj4pQXUkrV7yJAoGmr7r8LlpKbmyt9vHv3biC6YFQURYreWs3Nbe5BpVax1beWmpCZoq+KCEVCUubSwoULo8+jVFJTU0NOTg71NQ5qK+zScYNigARSyMDED+7PyM/LJS8vj/vH3ccFF1yA0+kkGAzSs2dPHnnkEWlDfFgdJjEnAeueGkrYFD2YCF7cXNtuKJs3b+buu+/G5XKRlZXFJ598QkJCAoWFhej1erRaLSqViuLiYmw2G3a7nXfeeYe5c+ciCAKnnXYa8+fPl9pV48aNY968eXzzzTe0bdv2uFYuqqurEUWxxQUUnFwm7NraWsLh8Enh6zoUwuEw1dXVAKjValk8ycjIHDWnvJC65I7z2fBltLUXSzv3im4gxMArzm72ezIzM1n7vw3Me+5d8CoJeAPk0p72Qg9ShCTGvDecWbNmSSIqRnJyMjabDZ1O36TVp0SFCydpZNMlqztvfjGTPXv2ALB69WrpcTt27GD37t2o1Wqys7NRKpU8+8lk7h30MNnhy/F7A2j0ar72/5cJ/xrH6NGjmTFjBoMGDWLmzJlMnz6dp59+mnA4zA8//NBkgjAtLY2tW7fy8ssv88svv6DX67nhhhtYtGgRI0aMoLi4WAobzMzMPG5VmBPJTA5gsVjQ6/Wtvv0VDAaxWCxkZGQ026Y+mZDjCmRkZP5OTlkhNWvWLKnyosnUk1nZjvLgbkrDJXhw8emrS3A4Hc3GFQB89fb3KLxqfHgJ4ieORAC8Lh/lO8zS41555RWef/55rFYrAwYMYNCgQSxcuJDTzu3Clu92EA6FUQgK4kmKTshNuAGFQkFGRgZz585l8ODB1NfXo1Ao6NChA+FwGKVSKbXTstqn89aWl9laVIK9sg6n2kbNf3Zx1oAzKSkpYeDAqEfq3HPP5fbbb+fpp58+6GuSkpJCKBSisrKSgoICPB4POTk5hMNhxo0bx7///W+WLVt2XBasxlpnJ4KZHKKt0JqampNiwWzM13WyV6Fqa2sJBoMAZGVltfo4ChkZmROTU1JIWSwWXnnlFXbs2CFVXs4YcQaCYwAag5oZ85/nnMsGoNFoMJvNTdp7MdzO6Ei0Fh0+3NI7XEEQ6N6hB3fcfzsQbYcNHTpUyl2KCYR/LhzHg+dPxWaOtvjC4Qj9/tGb6yZcjlKlRK1W065dO8mHFIlEJH/Qnj172Lt3L127dsXj8WDKN2G6I3r8kSNHcs011xAKhejYsSNLlizh6quvZvny5VRUVFBXV4dSqWTw4MEIgsBdd93FmDFjADCZTDz88MP06NEDvV7PJZdcwjnnnMNTTz3FNddcI+3j+7vT8GNm8uM5Bfhn1NbWEolEWr3wiEQiJ42v62DU1dXh9UYnV9PT01v9cmgZGZkTn1NSSEF0b5jX60WtVuPxeOjZ7zT69+9POBxm5jvRtS8JCZx6jXsAACAASURBVAnodDr27dtHXl5ek3HwgdcPYMv3O3G469ATNWYHxQDrXGu5ZdxaFEoF8+bN46yzzmryvIIgkJSUhCiKvLV9FttW/UJNmZWOfduRlp9MVXUVgiCQmppKjx49CAQCko8jNpat0WjIz8vns/dWsn3DTk4/43T6XXo6KGDp0qVs27aN2tpaZs6cyTPPPMPTTz/NRRdchFKpxOloYPXq1ZhMJmpra7n44otJiUvHFJ9HfLaRJUuWUFpaSjAY5NZbb2XevHkUFRUdYKD/O4jFCJwIZnKI/o6YzeaTYk+e0+nE6XQe96XRx4OGhgZpUjY5OZmUlJQWPiMZGZlTiVNSSJlMJh566CHy8/PR6/UMHjyY8847D6vVeoD5VKPR0KZNG+mdfFxcHAAX3nwOX7xVRPHPVrQ+Iwqlgt1s5Yabrmf2gpcIBAJSkN8fSUxMpKysjMTERLqf05mUtgmIoojX621S/crOzubXX3+VJuri4+OJj48n6A3y0HlPUmmppNHTwOqP1vPxMzkMefIcunfvLu3/Sk5OZv68+Sx+8XM+fvW/RIICd/WYxMgpNzHs4atJSkgi0ZvGlNufoqPxNCq8+4hkeNGoNHg8Hq644gqmT5+O3++nfftoDIPH4+Hss89m3759x/RnEvOwnAhtPIgGMbrd7lZfhYrlbSUkJJwQ4vRY4Xa7cTgcQPQNj2wal5GRaSlOGSFVvHIzn76yAoe1gdMv6cribxezb98+kpKSuP7663nttdd44IEHDvr9+fn51NbW4vP5SEtLQ61RM/6dUaz7rDe/ripDHadgx+c/8vLb0eW9Go0GjUaDz+dr1iSdkJDATz/9RF5eHjk5Oc22sARBwGg04vF4mrRi/jvjf1hKKwkFwiQJaYQ8Icr8e3nmsR8Y+88xpKSkIIoiarWaNye/zbcLf+QX/yYSScXlbmTek++TnJnEzg272LpnC4WRzngavKhENTssm3l54pv8a94kNm7cyN13383YsWOldS9xcXFNDPBHS8xMfqKEWcaER2JiYrMt3dZE7LU9nhEVfyd+vx+bzQaAwWCQxZOMjMwJwSkhpD6cvoR3n/yPtPpkzaZVNGrrMOriUKvVDBo0iJKSkr88TkZGBg0NDZJvylJp4YW3nsZkMvHMo8/w/vp50mNMJhMbNmzA6/WSnZ0NRCelamtrgWhVqlOnTqhUqj/1AalUKhISEqisrJR8Vt9++COhQBiB6I1fJagwhOP52baXodcNxeVyYbFY+GzFZ0x7awaCKJCOiQxyEIAfvf9j3V1FhEIh0iLZJJJCRAyjQUe6aGL6gmf5z/p36NWrFxMnTpT25x3L3XkxwXIirSGJCY8TxZt1NFgsFrRa7Qnz2h4p4XCYqqpou1uj0cjiSUZG5oSjdd8tDgGXw807TzTdH6cKaKh2VfLJq8upra1l/fr1dOvW7ZCOl5CQQEZGBqtXr2bZ0mUk6VIo3V7Btx+tZuvWrYwfPx6/34/RaJR28a1Zs4Zu3brRq1cvhgwZQpcuXZg7dy5FRUX07dsXhUJBcXFxs8+XmZlJXV0doigSDoeB2K47EQ8uPES9ISpBzSDlldTU1mCxWBAEgZuG30w35Rl0ox8ppCOgwCDEc5ZwCQN1Qzhb8Q86CD1QoCREEL1gpL3QnQGKS9i6dSvvvvsuWq2WjIwMAoEADocDl8t11B6b+vp6KioqyM3NPehU5PGmqqpKSihvzSLK6/VSWlpKenr6CfPaHi6iKFJZWYnFYpHa7SaTifT09JY+NRkZGZkDaL13jEOkZP1u1Nrfx9U9ogsdBlLEDMY9cxcDBw5EqVQyZswYXnnlFXJzczGbzfTo0YPRo0c3e0yNRsPeXXuZN3sB7k0RakprWf5yEaIoctv1IwAYNWoUa9euxWKx0LdvX7Zv3862bdvYsGEDBoNBmoL79NNP6d+/f7PPEw6HsVqtVFZWAlBcXIzFYqHwvGzcqobfBFAIn+gloPDR9dz29OnTh7Zt25KWlkZcopGCjEKMxGMkkTgS8ItefKKX7O7pdDu7EwBKQYlG+L2t1v3szgeIpYyMDPx+P06n87Cm9mbNmkW3bt3o3r07w4YNo6SkhLvuuouLL76YHj16MHLkSGlEvSXw+/2UlZWRkpLSaoVHjOrqahoaGigsLGyV02o1NdE3AZWVlWRlZWEymcjKyjrpzPEyMjInFye9kEpMTyAcCksf69AjIpIvtOfGc0fw9ddf8+KLL2K32xk6dCjr1q2jvLyc4uJiXC4XaWlpdO7cGYvFQkNDA6IoUlNTw8TxD2IL1OD2uYgQIegNoUDBwzdOwWKxUFJSgiAImEwm6aYmiiJLly4lLy8PtVpNYmIiycnJBINBysvLqaysbPKf1WrloYce4rLLLmPw4MEkJSXhcrnQtBP5RfyZnYoN7KCYgN5DdlY2jy94EIVCQXx8PPn5+ezbt4+7Z4xA0IkoEFAISnQKA4nGJCbMGsuwJ65AiBMJqwNExDAqjQpDvJ7754xq9rXMzMzE5/NJC13/iljMRHFxMUVFRXg8HtasWcOIESP45Zdf2Lp1K16vl7lz5x79D/oIiKW5FxQUnBBhn0dKIBCgtLSUxMREMjMzW/p0Dgu73Y7FYsFisZCSkiJVn1pzVVBGRubU4qT3SLXrWUhmQToVJZVEwpGomMBAWBfg+nuvJhKJkJqail6vP+B777nnHh5++GFuveVWFr/wOV+8+zX+gI/GnFoaG11ofxNlYUJY2IcSFcs3fkLxoB9ITU0lISGBioqKJhWcxYsXc9ttt0l+J4gauNVqdZPPxRg1ahRjxozh1ltvxWQyRcM5VQKP/usRzjvtYr7/chVnDxzA2df0Q7Nf5U2pVFJYWIiirYLrnxzC7s8tVO6poUPvNtw29Qban94GgPd3vsl/X/2czWu3kd81h0vvuIC0woOPj2dmZlJVVUVDQwMJCQl/+foHg0F27dpFu3btEEWRnJwcBg8eLH29X79+mM3mPznCsSeWp5Samtrqq1A2m41AINCqpgudTiculwvgpM60kpGROTU46YWUIAg89/lkplzxApbdVShVSjxBN+Nm3MX5V0ZTv2OVCaPRSHJysvS9AwcOZN++fVSX1vL53K8J+oOExQhb9myKVqEIsJtthAmhw4iIyFnKwXxR8iFLPlrO1Cee4KelxVx6YzLxKXEEAgFWrFjBQw89JLXrIFpREEWRLVu20LVrVymvKhYCabVa0Wg0xMXFEYlEaGhoIDU1lYHXnIU+V8UZZ5xx0OvPzs6mQ++2XHHTZc1OoaWZUhn9wi1NPtfQ0IDFYgFAq9UeIDYyMzOlaIeDiSlRFIlEIowdO5azzz5bipnYX0QFg0HeffddZs+efdDzP9Y0NDTgcDhafZ5SOBymoqKCtLS0ViEGXS4XTqcTiA5ayKZxGRmZk4WTXkgBZOSl8eamGZTtNGMpq6Swex45udnS12M3osbGRsxmMyqViqysLAB2b9pH0B8kKEZ9PNWUk042XdW9+S64nI70pJJ9nCb0Zys/oeoaZM4Dc3np9RnEk8iyWUV8+fKPTPnPg1QHK+jbty89e/Zscn4ajYacnBxSUlKoqqqSFhwHAgFyc3MJhUKEw2F2796NwWDAZrOxdOlS5s2bR7t27XjrrbfIyMho9tptNht9+/bF5/NRWlpKTk7OX/pnEhISJIHk8/kkUSUIgjSBmJWVJS1/3V9MNda7KPrP95RbSrnyliEUFRU1iZlYuHAht9wSFW733HMPAwcO5Nxzzz2En+LRE9uT19rzlOrr63G5XCe8GPT5fNjt0eR+o9EoiycZGZmTkpNaSI0cOZLly5eTkZHBtm3byG6XwX0Pj6WiogJAGunftGkTAPHx8YgBsOytoqG+EZ1RS9mOCvitMxcWoy28PgwiHIqgUAhoNGqEgAJ9nI6zUy5gh7eYf855EKOYQDu6EQwFEQQlI6+5E7N2N/EJ8dx4443Mnz+fqqoqhg8fzpYtW/jnP//JihUr2L5tO7vXllK+uRpTmyw63N6RzMxMtFoter2euLg4nnjiCZKTk0lPT2fs2LGMHj2aN998U7ruWCsxGAyyadMmevXqJcUn7Nu3j8zMzEOOMtDpdNINMBb0WVVVhSiKpKWlYbfbEQSB+Ph4ij74gWdHvoRWpSUshnj7hfdJ759AXV0dF198MXV1daxatYp77rmHAQMGoNPp6N69O507d0apVDJkyBCmTZt2rH78El6vl9raWnJyclr1nrzYeqGkpCTy8vJa+nSaJRQKUV1djSAIaLVaWTzJyMic9BwTISUIwqXAbEAJzBVF8YVjcdyjZcSIEdx3333cdtttQLQisWzZMunrDz74IImJ0WXDwUCQWWPe5LuPfkSlUREOhrl63D/Q5mmIECEshvDixoeXn/gSAQE/XswJu3jh/umc1rcbvS/uwawxb7Jy7zcExSAeXMSThE/0si9YgkqtYPv27dx5550sWrSI//u//+PXX38lEomwatUqunbpygDjYGr2Wol4QKNT894zn3DvWyOkc3a5XHTt2pWKigqpdXbTTTdJlaL9iUUWxLxX2dnZGI1GzGYzu3fvlj7fXFUjJsb0ej1JSUkIgoBCoSAnJwdBEJg8eTLLli0jNTWVhQsX4nZ4mHD7Q+wLluCmgdM5GzUafly1Go2oY+PGjYwYMYLevXszZcoUrFYrzz77LDNmzGDz5s1otVopY+tYUltbiyiKrT5PqaGhgbq6OvLz8084I3ZMYEM096y1B5nKyMjIHA5HLaQEQVACrwEXA2ZgvSAIS0VR3HG0xz5aBg4cSGlpKQDl5eVN3sWLoshHH33E119/DcC/J73L9/9ZQ8AXJOCLtvGWvPoFVzx8ERqNBiECqqCaAVyCRqElLtnIBsPXbPh5QxOPSjgURhSjuU7xYlSAIIKIyAevfSwllWdnZ1NSUkJNTQ01NTVs3LiRyROnYN/txOP1okErncdr4+dBatSUHgsnNJlMbNq0ia+//ppu3brR2NhIfHx8k+u32WwHZO8kJiaSmJiIz+ejqqrqgB2Cf8Tj8VBdXd3EMF9VVcXll1/OsGHDuP/++wmFQnzz6Q8oUdKObpQRDTdNFFLJVORxzsCzSc5IolevXrRr147GxkYcDgfDhw8nNTWVF198kX/9618HbU8eCbE9eRkZGRgMhmN23JbAbDaj1+tPKEO5KIpUV1cTDoebCGwZGRmZU41j8da2H7BbFMW9oigGgEXAVcfguMeMcDhMUlJSE8Hwww8/kJmZSYcOHQiHwnw+twi/N9Dk+9a7v2f8U/fSGHZSrPqGeqUVpUJFYT8Tj316P4LiwBvHBTedi84YHaWP3Vh0gp62qs4Mu/dasrOziY+Pp2vXrsTFxVFSUoJOpyM/P5/y8nIavU4EwE00YmCruJYvaz6lpKSErl278sknn/Dwww/Ts2dPhg0bxrfffsucOXOajSTYX/xkZmZSU1MjfazT6WjTpg2VlZV/GmdgMBjIzs4mJyenyX/XXHMN8fHxKJVKzjzzTLq360GKIpNkosIt9szthG68cP8stm3bxrvvvsvixYt59dVX2bNnD4WFhdxyyy2sWLGCQYMGsX79+j/5KR46dXV1VFdXU1hY2KpFlMfjobS0lMzMzBNmss1ms0lZT+np6eTm5soiSkZG5pTmWLT2TEDFfh+bgeYTJo8DkUiEbat+oa6qns79O+DxeBBF8YDpsg8++IAbb7wRAL83QCgYkr7mEz0E8NORHmh1WhbselU6thgRUalVhEIhPvroI/bu3YvH45G8N6bTMuh1eTd+XLKOgDeIoFQQUYZQFAb56ZOfSEpKYtSoUbz77rsIgkBhYSFKpZK4uDgUCgUadFF/CdE4htOE/mj1Gv5v60xEXRhRFCXfSVVVFaFQiOzsbMkQHsNms5GamiqZfZVKpZSMvj/5+fnYbDZqamoOOYOovr6eQCBAZmamtMOt/5DezH/8AxppAARit1VRFAn5Q4RDYcKRMEuXLuX5558HolWjuro6fvrpJ9avX88NN9zA3r17j/imvL+HqLW3l2JDBydCFaq+vl6a0jwZIiNkZGRkjiXHzWwuCMIYYAzwt01N1ZZbeeiCJ3FYo2PWoUCItheZDmhdhUIhFi9ezIYNGwDQx+lIz0ujel/Uo6MTDGhEHQF8dOjdluzs7GZv7rFWYazFkZiYSFxcHGOeGsHOb/bgirgRBKgKlZOgTqJLly5YLBauvPJKtm3bRmNjIzqdDpVKRW1tLYVtCtGV65qssxEEgaw2GWS3zaSyspLExEScTqfk7TIajTQ2NpKWlobVapVaeX6/n7S0NJKTk6mvr28S6/BH0tLSpOrHwTw4oihS/NUmlr39OREi3DxuGPrM343beZ1MDH3wCj6ZtQLRLRIhKtrEiMgnL6/g15/30m9MN3r37i0JttzcXK699loEQaBfv34oFIpm25GHgsvlwmaznZAeosPB7/dTVVVFVlZWiy5xbmxslCqVSUlJf/r7IyMjI3MqcyzuOBZg/xGi3N8+1wRRFP8timJfURT7/l07s54cOoOaMiveRh/eRh8NPic7in7F5XA3edxXX31F586dpaqFIAiMe200Wr2GmF5SqVQkxacwftZdUvLywVajxNZZBINBKioqeHjIEzitDYQCIYL+EOqQls07NvHR65+Sm5vLunXr6Nq1K+effz4ff/wxAAsWLGDkPSPof1lvtAYNWr0GfbyexPQEnvjkIRwOhyTUYmGGEA00dDgcaLVaAoFoa9Lv90sRBwaDQaomqFTRSlpzxJYHV1RU4HY3fb1EUeSpW6bzz6ufZvX7xaxeVMykC6fy8cvLmzzujqdvZOysESiF6OqasBh9Lr/Hz9YfdvLGK29KVUCAq6++mm+++QaAXbt2EQgEjqjaEduTV1hY2KpFlNVqpa6ujsLCwhYRUV6vV/pdj0QiUsq40Wg87uciIyMj01o4FhWp9UAHQRDaEBVQw4GbjsFxD4vaChul2yqIhCMA+EUvv7IVh9dGqDKax/Tkk08yatQoFi1a1OSGDnDGpb2Y8c1U3n9uMRW/VNKpX3tueuxa8jv/Pvofa5+ZTKZmK1TJyck0VLlwVDbgjbgBARUqtOhJF03c+8jdPPvGVHr16sWYMWMYMmQIw4cP5/HHH6dXr17ceeedaO/TsndLGdtX/0JKdjL9LuuFWqPGYrEcdJQ8JSVFiiGIRCLYbLZmH5uRkUFVVVWzCeoQFZQFBQXU1tbi8XhIT0/H4/Hw4//W8tN/f0bwKgkTRIgI+D0BVryxklB+U2HmtDaACBq0+PGhF40IgoDH7WHdT6v48NNF0mNHjhzJyJEj6d69OxqNhgULFhxWW8/v91NdXU1WVlarXvESCoWwWCykpaUdd9ESDAalacn9oy5kZGRkZA6NoxZSoiiGBEG4D/gf0fiDeaIobj/qMztMvC4fCuX+1QiBjvREhYrCTgXM3/l7evbbb7/d7DE69+vAU/99pNmvKRQKcnNzmwiqnJycAyogPrcftUqDTjAgitH1MTrBQHu606FrW/7f+helx7Zt25Z169Yd8FxtexTQtsfBx/WTk5Ml7xNE23t1dXXk5uZKY+jNcagiJSMjA5fLxapVq+jYsSNl6ysJ+6ICNUwYDVq2imtx+K2E9gQlkZqSksK46XfhpI7trMdIAn2F8wDQGwx88NJiqSUJ0SDShQsXHtI5/RGbzUYwGGz1sQZ1dXV4PJ7jeh37xxWo1WpZPMnIyMgcBcfEIyWK4mfAZ8fiWEdKbsdsdEYdPnfUX6QVoq0RQQM9LumExWIhMzPzT0f9D4WYoBJFkcrKSqkFEhNUbXv+njYtCAIqoj4ijV7DecMGHNFz/tHjZDAYqK+vbyKMsrKyqKqqwmq10rlz54Me62Dtyf1xOBw4nU769++P2WxGUINCpSAcDBMhjCAInEZ/dEYt984eyaUjL5C+d/AFg7kpfyy2Biuq/X69FErhiK9/f2J78lrLapSDIYoiZWVlpKSkHBdjfCyuIBKJyHEFMjIyMseQ1mso+QNKpZKHF9yH1qBFqY5OkmkNWnLys7hz6u2YTCZp07zNZjvq54tlOcWqQBUVFYTDYdQaNQ++dQ9agwalKvry6oxactplcsXYS47ouTwez1+O8avVakRRlHbc7U9cXByNjY1ANGAz5pn6I6FQiLKyMqnFp1aradOmDb3/cRphRRC/6EXD794dMSIy4Oqme/6MiUZeWDkFQ7qWxPgk9HE6UrOTeeGLx4lLOrq2ldPpxGw2U1BQQFxc3FEdqyVxOp2Ul5dTUFBwSIufjwar1SrFFWRkZGAymQ46PCEjIyMjc/gIh1KhONb07dtXLC4u/luObdldxbI3VlJbZqP3RT246NaB6AxN/TN+v18SU8nJyccka0gURaqqqgiHw2RnZ1O5u4blb67EZqmj36W9uOCmc9Do/nzH3UGvqRl/lN/v55dffmmyt8/v97Njxw7phnmwY8TWxexPbW2ttNuvOd6b+RGvPzaPFG06AgLhcITHFz3AmZf3OeCxXq+XkpIS4oUkRFGkbY+CozaBV1RUEBcX1+qnx47HdcTahQDp6emt2j8mIyMjcyIgCMIGURT7Nvu1k01IHS51dXV4vV5pIe+xeKcey3fKyso66t1udXV16PV69Hr9AV9bv349CQkJDBs2DIgah8vLyxk3bhzXX389d999Nz6fD5VKxdSpU7n88suBpqLK4/FIsQkHE5SxNlSCPpEvFn1JeloGZ1/ZH0P8gecE0SRupVJJdnY2DoeD0aNHs23bNgRBYN68ebz88suUlETTz/+47/CPxM7PZDowxqI1EYtnyMvLk7K3jiUNDQ1S1fFYvTmQkZGRkYnyZ0Kq9d6ZjhEpKSlA1HtTWVkJRM3bh7rUtzlie++qq6sJBoNkZGQccVXA5/NJ59gcHTt2lERIeXk5/fr148ILL+SBBx7giSee4B//+AefffYZTz/9tCSkYpjNZjQazV8anc1msyQAbhp/A5WVlfhDPgwcKKS8Xi86nY5gMLreZvz48Vx66aV8/PHHBAIBPB4PH374ofT4/fcd/pGamhqpzdiaqaysRK1WH/NwTY/HQ319PRBduC2bxmVkZGSOP6e8kIqhUCikG5HL5ZIm8zIyMo64qpSVlQVEBUEgECA9Pf2Y5gNlZWVRU1NDVlYWVquVLVu20K5dO/r27UsgEJACFZ1O5wGp5Vu2bKFr165/WeWpr6+XVsHEyMnJweFwNNtyjFVdKisrcTqdfP/999KUpEajkfKt4MB9hzGCwaDk6WmuEtda8Hq91NTUkJ2dfczaa/u3pQ0GgyyeZGRkZFoYWUg1Q1xcnGRmrqmpIRQKodFojihxG5BETG1trbS65VAEgt1uP2g1KhwOo9FopIDNQCDA4sWLufHGG0lISOD+++9n0qRJPPTQQ0QiEVasWIHb7cZms0kVoL8SUeFwmMbGxmaT6JOSkjAYDJSWlmIymVCr1Xg8nibXtW/fPtLT07njjjvYvHkzffr0Yfbs2VJW0v77DmPEWq2tvQpVW1tLJBI5JlWocDhMdXU1EBWjsniSkZGROXE4aab2/i4yMzMxmUwkJCRIqc8Hm3r7KzIyMsjNzcXtdmM2m//yOH6/v9kKVjAQZOvaHUR8IoIg4PP5EASBpUuXcv311wPw3XffMWHCBCoqKpg1axbjxo1j27ZtFBQUkJSUdEhesIqKij9d56PRaCgsLKSmpgan04ndbqd2dx3T73iNGaP+Hz8uW8/PP//M2LFj2bhxI0ajkRdeeEH6/v33HcZ8WCqVqlULhWAwSFlZGXFxcVJF8kiIxWtYLBasVis5OTmYTKYjFvMyMjIyMn8PckXqENFqtdINvq6uTspxOhKDeiz/yG63U1dXR3Jy8iEnWn8+r4g3Ji7AG3ajCmmxpJVQ7tpLfHy8tMduypQp/Pvf/6Zt27asWLGC5557jk2bNjWZyPurIYP99/b9Fbm5uZjNZv7zyhK+fv0nAt4AvoiHrd/vxKiKo0/v6GTf0KFDJSG1/77DxsZG6urqyMvLa9UrXmw2G36//6iqabW1tZK/LDs7u1W/HjIyMjKnAvJf6SMgJSUFk8lEVlaWVDVwOByHfZzU1FRyc3Px+/2YzeYmO/RiLcD92fj1Vl4bNx9Pgxefy0/QH0Rfk8TZuRfgdDql6s6kSZNo37498fHxbNy4kQsvvJCcnBxeeuklTCYTp59+OpdddhkffPBBs+fl8/kIh8OHta7EaW/gf6/+gMNd93uOlVeBKqjhvVc+AqCoqIiuXbsCv+87FARBEh+tVTREIhFKS0ubiO3DwW63YzabMZvNJCUlSTvuWuvrISMjI3MqIf+lPgpiBvXYaH6s9RerKBwqsXTrYDCI2WymsbERv99/gEH5o+lL8Hv8TT6nDRqoKanD5XJx7bXXAtFqU1ZWFna7HYVCgV6v54033gDggQceYNOmTSxfvpxXX32Vrl270q1bN2bP/n2FTnV1Ne+99x6CIBxSeKnb7Wbvxgp0Wi06DPjxSl/rEOnJY888Qo8ePdi0aROPPfYYAO+99x6DBw8mPT29VSeUOxwOKSQ0Pj7+kL/P6XRKvy8Gg4Hc3Fxyc3ObmPFlZGRkZE585NbeMeJYGNSTk5NJTk6Wbs7x8fFS8vXIkSP54MtFKEU1ZwmDAWgUHeygGDEcQaVSsWPHDqnVuHnzZuLi4khLS2PRokWcfvrpLF++nHA4DESN5v/617+49NJLaWxspE+fPlx88cUkJiYSDodZuXLln/qj9qeuro4cU9QPJAgCOn7PMEpQJvPg9ZOZ+O+7pc9ZrVamT59+VB6ilkYURSoqKkhISDjk18ntduNwOBBFkcTExFbtBZORkZGRiSJXpI4xDoeDe++9lwsvvJBzzz2XpUuXSgb1l1566ZCqPMFgkF69eiGKImazGafTyYgRIxg/dBL7u7F2sYUCOtJPB2bSigAAHRJJREFUdz4pKSlMnDiRgoIC6uvr6dixIxdddBFOp5Obb76ZmpoajEYjc+bMoUePHkyePJmCggIikQjx8fF06dKFXbt2odPpeOSRR5g2bdoheb/cbjcGg4HTz++OWndgTIRGp2bInRcB0emz0tJSDAZDqxZRjY2NlJWVkZub+5d5Yz6fD7PZjMViIRAISGuFDqd6JSMjIyNz4iILqWNMLIDyl19+YcuWLQwcOBCTycSePXtYtmwZJpPpL43egUAAjUZDYmIiubm5CIJAmzZtGHj9Wfz+nQIiESKIGLK0uBxuytZXcU3KCN577mNpWm7t2rVUVlby3HPPcc8997B69Wo2bdpEdnY206ZNo7q6mtLSUjZu3Ej79u1ZtWoVJpOpyeqZP6O+vp7U1FSUKiUvfPE4SekJGBL0GBL0aHRqRr9wC53OaI/D4aCyspKCgoLD8l6daMQEUWFh4UE9TKFQSPI8uVwucnNzMZlMrX69jYyMjIzMgcitvWPInwVQPvnkk8yePZurrrqK6upqAoHAQRPU/1gJSkhIICEhgQ9nfQqCSFAMoEZDFnnsYSu7924liJ/O9MXt9LDqvz9hUBrp168fc+bMoXPnzpSUlKBSqXA3unHaGhk9ejRXXHEFLpeLG2+8kcmTJ9OmTRtGjRrFypUrD+l6Y9WoGO17tWGR5d9s+X4HngYvPQZ1JT45joqKCuLj48nLyzvCV7bl8Xg81NbWSplZfyQWVwDRBdomk0leDCwjIyNzCiALqWPIwQIov/rqqyZVnuzsbNLS0ppNUK+trSU9PR1RFFn16ToWv7ycBnsjZ13Rl90bykAUiBCmEQcO7Ogw4sWNiMgGvqOz2AtbsBoPbtrkt+W007vTr18/fF4/U29/ke1f7UIn6FkbKaIx4qBXr148+uij3HjjjWzcuJGNGzeSlpaGSqUiGAzSu3dv1q1b12wrLhZZsD9KlZJeF5wGRIVWrAX2d+yXO15UV1cjCEKz4ZoxP1wsCkOetJORkZE5tZCF1FHicrhZ/uaXbFi5mYDRzc8//8yrr75K//79GT9+PFOnTuX7779vtsrTnEHdZrORkZHBgic+5OOZy/C5o1N6VXtr8Cs8iIgoUJJMOpv5kbMYjICAiMga/odJaIOJNvi0bqqE3ZSVlaFUKslqaMPi7z6iPmJDiRIlKuKFFEJKL7feeisJCQksXbqUp556ikcffZQXXniB559/np9//rnZqTqXy/WnLbrq6mqUSmWrTigPBAJUVVUdsKomlhcF0cDW1rxMWUZGRkbm6JDvAEeB09bA2N4P47Q3EPAGCQp+NKKOQLTIxNChQ5k6dSr79u2TqlFms7nZKk9mZiaiKOL1evn+6x9484V5CAEB5W8/okafn4A6evOOECZAGA1avAo3KUIG9nA1Bn43MCdrUnn5refpc3FPbBY7N7QfTZdI39+iCQR8uCkWv0XpVjJkyBDUajVWq5Xi4mIAbr/9dqZMmXLQa6+vr2+2VRcIBKisrCQrK+uY7hU83litVoLBoCQEHQ4HbrcbiOZ/tebIBhkZGRmZY4cspI6CD6f9l/paJ6FAdN+dWtSiFXU8PepFPr/yPxQVFdG7d2+KiooIBALY7Xb69evHZ599hiiKVFVVNTGe19TUkJGRgdavJ8OQhSPgIEwYENnHThxBO0ECbFB9S1u60olemA2/8qt7CyDQhWiCuFKtJDUnhV4XRltsteU24rXx1Pnq0KInSIAkIY0zxAv4Vb2JlStXYjKZSEpKIjs7G4guRDYajYdVjbLb7fh8vmOyX66lCIfDlJeXk56ejl6vx2w2A0hBmTIyMjIyMvsjC6mj4MclxZKIColBggRoQxd+aviGTp06075DO2bOnEllZSVqtZrMzMxomy0r66AVjZycHAJ1IULBMGpBQ8zW3IOzEBQCF9x4Do+8cz9OWwN1Tjtt27fFsruKl+96ky3f70QQBM66vC/j37hT8uvkd8mVzlMQBDRoCYshFColemPzVSNBEA5qlv5jNUoURcrLy0lJSTkgjb01UVdXh91ux2Aw4HQ6MRqNTdbqyMjIyMjI/BFZSB0F8Slx0v+rBDURMYKRBM7QDGLRd3NJzz1QLJWWljZ7LFEUpepUm9MKyO2YTem2CsKhsPQYjU7NtROGIAgCSemJeEPRpcem9tlML5pKKBhCUAgHGLvVWhX6eD1ur5uwGEIpqAjgR6/UkZCWgNFoxOVykZmZSVVVFdnZ2ZI36I+4XC7J1wXQ0NCAw+EgPz+/1U6pBQIBiouLSUxMJDMzU27bycjIyMgcMvKI0VFw7fgh6Iy/r3HRCFqM6nhO69udgODHYrEc0ooViLb1MjMzpY+f++wxOvVrj0anRh+vw5hk4MG599CxT7uDHkOlVjU7Hbfy7W/xunyoBQ1BgvhED1r0iCIolAJJSUk4nU6uvPJKFixYAMCCBQu46qqrDjiWw+GQ8pAsFguhUKhViqhIJILFYmHnzp1s2rSJs846i27duskiSkZGRkbmsJArUkfBecMGsHvTPv77ymeotWrCoTCm9tk88fFDJGdG86G8Xi9msxlBEEhMTGxSzdmfSCTSZPorJSuZ2aueobbChqveTX4XEyr1kf24Vn26loA38NtHIkpUbGc9jqCN0K4gubm5TJgwgUcffZQbbriBt956i4KCAj744AN69eqFyWRi+fLl3HzzzaxatYrExERCoRALFizgjDPOOKJzaglEUaS6uppIJIIgCPz/9u49OuryzuP4+8llJvcruQdCCyhoar1Esdqz7VapaKm221Zq7R7FpdTT4m2tttZdPGoLLrUe66lnKVakLa6sBVe81VXQrRwVrdZqWVzEeiEzSUhIMiFkwkwyefaPSUYC5DKTmflN4ud1jsfMzG9mvjxHzOc8z/P7PgMDA1RUVDBv3jynSxMRkUlKQWoCjDF8545v8/V//jJ7Xn+P0upiZn165rBrsrOzI/tshs7QM8ZE+kYBo3Y6L58+jfLpx54lSUtLIxQKjdmjqbCsEGPAWsgy4Qaan2I+2XlZ/NuzK5g3fw5er5fS0lK2bdsWed9dd93FvHnzOHDgABBeAluxYgWLFi0aNnuW6tra2ggGw0GyoqKCQCBAW1sbtbW1al0gIiIToqW9OCguL+SM8085KkQdqaioKHJcSHt7Ox6Ph+bm5qOW9cartLSU9vb2Ma+78Hvn4cp2DXvOGEPBtHzmnjE7/GcoLqazszPyusfj4cknn2Tp0qVAOAQGAgHcbvekCFGdnZ14vV68Xi8FBQXU1NRQU1NDW1sbfr+fmTNnKkSJiMiEKUg5pLKyktraWsrLy9m7dy/Nzc10dHRE9RkZGRmEQqExr6s/ey5LV12KK8tFTkEO2XlZlNdN446n/yWytyknJwe/3x95z7XXXsvq1atJS0ujr6+PXbt2UVJSwu23385JJ53EddddF2lKmSoOHDgQOePO5XJFwpPb7ebQoUN88MEHlJSUUFZW5nSpIiIyRZixDtBNhIaGBjvU+PHjbqifVHV1NT09PZFZoZKSkmHn2I1k6C678ejp6mHXy++QW5TLvPlzhm0Q3755B2v+dR3+fUHSpvfhng0P/n4DDz/8MGvXrmXz5s309vZSWVlJMBhk2bJlzJo1ixUrVsT2B48Tv99PR0cHxhjy8vIoLCw86prW1lZCodC4x0lERORwxpjXrbUNx3pNaxsOa2lpiXQ4z83NjTS67OjooLOzE2stVVVVcTmrLrcwl9MXnnLU84+v+W9+9YPf0dXjw00Wf+vYSfNbe6mqrAZj6erqYvny5WzYsAEAt9vNkiVLuPPOOydcUyyCwSCtra1AeCZtpF5P/f39eDweysrKRj3ORkREJFYKUg4bGBg45kG3JSUlwPA7zTIyMuK+PynUH2Ldjx8i4A/gwk2QANOZwwx7HGedOp/PLj+Ze+65hw0bNkRmv6y1PProo9TX18e1llHrDIVobm7GGENmZuaYjTLb29vp7e2d1F3WRUQk9SlIOchaO2b/JWNMZEmqr68vctdfbm4uRUVFE66hc5+PvkAfAGkmjZDtx0026SadPX9+j1N65kTuLrz00ktpa2vDWsvJJ5/MmjVrJvz9oxla9hwKmzU1NWOO18DAwJTosi4iIpODgpSDWlpaotq3c/hMTHd3d+Suv+Li4pgPCC4ozR/2OMd81OequLaA8847j4svvhiA5557LqbviFZrayt9feFwV1lZOe5lTZ/PR1dXF3V1dZOuQaiIiExOClIOGmoMGYv8/Hzy8/NJT0/n4MGDkQ7q1dXVx1wqHIkry8Wi7y7gibVbCfg/ugvPnePmy1ctOObm7UQYWooDKC8vx+VyjfGOj1hraWxsJD8/n7q6ukSVKCIichQFKYdMJEQdaehYk8OXwtxu97hv8//O6n+ENMMTa55hIGTJyc/iW7f+A5/76tlxqW8kXV1ddHd3A8S8FDcUIqdPnx6XDfkiIiLRUPsDhzQ1NVFVVTXhMNXW1kZRUVFkH9OQQCDA/v37sdZSUFBAQUHBmJ/VF+zjoM9P4bR8mpqaxtzQHYuenh58Ph8QnlUbT10j8Xq9uFwu9YUSEZGEUvuDFBWPGanS0lJaW1sjLRSGuN1uampqgHCjSq/Xi7WWsrIy3G73sT6KTFcmxeWFdHV1TSjgHOnwUJeTkxOpK1a9vb3s27eP6urqqJYARURE4k1BygGhUCiqfUyjSUtLG/WsPmDYjFRrayvBYJC0tLQRZ8QOHDjA9OnTJ1RXf38/LS0tGGMiXcbjYd++fVhr1dZARERSgoKUA1paWqiurnbku8vLy4HwHi2v1wuED1Ye2p/k8/li3mBuraWpqQlrLenp6eNqVzBewWCQpqYmysvLx9XxXUREJBkUpBzi9O35aWlpkT1Qvb29eDweINxWYd68eVF9VktLC/39/ZGeV/GabRuyf/9+AoGAZqFERCTlKEglWSgUSrm7y7Kzs6mtrcXn8zEwMBAJVRUVFUdtYh9yeLuC0a6biFAoRGNjI6WlpZE7E0VERFKJglSSJWJZL153XnZ3dzNjxozI46GZpvT0dCorK+nq6qKnpweIvV3BEJ/Px9KlS9m5cyfGGNatW8dTTz3Fli1bSEtLo7i4mNWrV9PQ0OD47J2IiMhIFKQckIrBwOfzHXXkTGVlJQcPHqS9vZ1XX32VwsJCysvLI+cATsQ111zDwoUL2bRpE8FgEL/fz4knnshtt93G3r172bhxI/fffz+nn376hL9LREQkURSkkqi/v5+MjNQc8oMHD0b2TB06dCjSKT0vL4+6urpIx/Cenp7I0l9JSUlMG7+7urp44YUXWL9+PQAulwuXy8WBAwf48MMPmTFjRlwbloqIiCRKav5Wn6JaW1ujOlsvWXw+H7m5uZEDkd1u94jNOHNzc8nNzQXC+6Q6OjoAqKqqGvfer/fff5+ysjKWLFnCm2++yWmnncaNN95IaWkp9913H7/97W8pLCzk+eefj88fUEREJEHU2TyJmpqaEtL2oKOjg+zsbLKzs6N638DAAM3NzTQ2NjJz5syjmnqO1+FH02RmZlJRUXHUNQc6unnqvm3semk3A8UB7thwGy+++CL19fUsX76cqqoqVq5cGbl+1apVHDp0iFtvvTWmmkREROJFnc1TQF9fX8KW9YqLi2lubh5XkLLW0tLSElk6y87Opr6+nry8vJi/3xgTCYjBYDCy9JeXl0dRURGtjfv5fsMP8R88RLA3SCizD9dAFoH2fg4ePMgVV1zBHXfcMewzL730Ui644AIFKRERSWnxbfgjI2pra4s0w4y38ewlamtrw+v14vV6KSsro6amhurqanp6eiYUoo7kcrmora2ltraW9PR0PB4PP7/ql3S2dxHsDYbrDaaRaV384tpfUVFRwbZt2zjhhBPYs2dP5HO2bNnC3Llz41aXiIhIImhGagrr7Oykp6cHYwylpaVkZWUNe72jo4Pi4uKEfX9+fj75+fnsfuF9+kJBBggBYDDM4zS2vvsE9fX1zJ49mwceeIClS5eye/du0tLSqKurY82aNQmrTUREJB4UpJIgGAwmpGHlsXR3d9PV1QWEl/xGC0o9PT1xaWUwlqycLFy+4Qclu8nmLNd5bHntN7iywgcPb968OeG1iIiIxJOW9pKgra2NsrKyhH3+0BEvHo+HgYGByNLa0N11x5Lo2ajDLbpyAe5s17DnMlwZfObChkiIEhERmYw0I5UEieiHFAwGaW1tBT464iWaOwKTNRsF8M0ffoX33vyAV556g4zMdAZCA9SdMJ3rfvXdpHy/iIhIoihIJVggEMDlis+sy8DAAE1NTQBkZmYO6/U09Px4dHR0JC1EAWRkZrDi9z/As6eZ99/6kMpPlDPn1E8m7ftFREQSRUEqgRobG1m8eDE+nw9jDMuWLeOaa67hhhtu4PHHH8flcjFr1iweeOCBo45nGXJku4KampoJz3D5/f6kBqkhtXOqqJ2Teg1JRUREYqU9UgmUkZHBLbfcwq5du9ixYwf33nsvu3btYsGCBezcuZO33nqL4447jlWrVh313tbWVjweD16vl/Ly8ki7gomGqGTujRIREZnqNCOVQMXFxTQ0hBuh5ufnM2/ePLxeL1/84hcj15x55pls2rQJCIec3t5eAKZNm4bb7T76Q0eQl5dHd3c3+fn5o16XzL1RIiIiU51mpBKoo6OD0tJSAD744APeeOMN5s+fP+yatWvXMn/+fDweD1lZWdTU1FBTUxNViIJwUOvu7h71mvb2doUoERGRONKMVBxZa3nyvq08tPIROvd1UXZ8Edffs5xPnjqDr33ta9x9990UFBTQ09NDZ2cn99xzDxkZGVx11VUTXrIbz/v9fn8k2ImIiMjEKUjF0X+ufpQNt28m4A8QsiE+fNPLjxbeTtdJHhYvXswZZ5yBx+MhJyeHrVu3sn37drZt25aQ9ghH2r9/v0KUiIhInClIxUlfsI//WPkIAX8AgH6CZOLmtd7tVDaWc/nll0fO2nv66adZvXo1f/zjH8nJyUlKfb29vUybNi0p3yUiIvJxoSAVJ537uhgI2cjjAQbYTzNteAm2+iMbzFeuXMnVV19NIBBgwYIFQHjDeSLPldNslIiISGIoSMVJUVnBsMfZJpdscjmXr3Pimcdz9/afRF674IILklqbZqNEREQSQ3ftxYkry8VXrz4fd84Rh/PmuLjs1sUOVRWejVKIEhERSQzNSMXRkp9cgjvHzaafP46/u5eKGWVceddlnPKFTyW1jt27d7N4cTi89fX10djYyG233cbLL7/M7t27AfD5fBQVFfGXv/wlqbWJiIhMJcZaO/ZVI73ZmJ8BXwaCwN+AJdZa31jva2hosK+99lrM35vqrLX0BftxuTOT+r1NTU1UVVVF7gLcv38/WVlZzJ49m1deeYW6urrItddffz2FhYWsWLEiqTWKiIhMNsaY1621Dcd6baJLe88C9dbak4B3gJsm+HlTgjEm6SEKoLCwkK6ursjj3t5eXnrpJWbNmjUsRFlrefjhh7nkkkuSXqOIiMhUMqEgZa19xlrbP/hwB1A78ZIkVrm5ufj9fgDa2tqYNm0aGzduPCowbd++nYqKCubMmeNEmSIiIlNGPDebXwH8IY6fJ1Gw1rL7T++y7cEX+PO2v+L3+0lPT+exxx7jG9/4xrBrH3roIc1GiYiIxMGYm82NMVuBymO8dLO1dsvgNTcD/cCDo3zOMmAZwIwZM2IqVo4t0Bvg5kWr2P3qu/SGekhPz6C8upyFPz6bU089lYqKisi1/f39PPLII7z++usOViwiIjI1jBmkrLXnjva6MeZyYBFwjh1l57q1di2wFsKbzaMrU0bz4E828/bL7xA81EfQ9mEJ0vZ+Oz+96Q5u+Ol1w67dunUrc+fOpbZWq7AiIiITNaH2B8aYhcCNwOestf74lCTRenrdcwQP9QEQJEAO+QT7ArzbvJsvnf+lYdcea8+UiIiIxGaifaR+CbiBZwdvud9hrb1ywlVJVPqDocjPuRSQZsJb376Q8VXycvOHXbt+/fpkliYiIjKlTShIWWtnx6sQid1ZXzmdrb97gVB/KBKiAD756Tpy8rMdrExERGRq0xExU8A/rfwWJVVFZOVmAeDOdpFbmMMN677ncGUiIiJTm46ImQKKK4q4f9fd/M/GF3n7lT1MP76a8y7/ewpK88d+s4iIiMRsQkfExGqqHxEjIiIiU0cij4gRERER+dhSkBIRERGJkYKUiIiISIwUpERERERipCAlIiIiEiMFKREREZEYKUiJiIiIxEhBSkRERCRGClIiIiIiMVKQEhEREYmRgpSIiIhIjBSkRERERGKkICUiIiISIwUpERERkRgpSImIiIjESEFKREREJEYKUiIiIiIxUpASERERiZGClIiIiEiMFKREREREYmSstcn/UmPagA+BacD+pBcwuWnMoqPxip7GLDoar+hpzKKj8YpevMeszlpbdqwXHAlSkS835jVrbYNjBUxCGrPoaLyipzGLjsYrehqz6Gi8opfMMdPSnoiIiEiMFKREREREYuR0kFrr8PdPRhqz6Gi8oqcxi47GK3oas+hovKKXtDFzdI+UiIiIyGTm9IyUiIiIyKTleJAyxvzMGPN/xpi3jDH/ZYwpcrqmVGSMWWiM2W2MedcY8yOn60l1xpjpxpjnjTG7jDH/a4y5xumaJgNjTLox5g1jzBNO1zIZGGOKjDGbBv8f9rYx5jNO15TKjDHXDf593GmMecgYk+V0TanGGLPOGNNqjNl52HMlxphnjTF7Bv9d7GSNqWaEMUtatnA8SAHPAvXW2pOAd4CbHK4n5Rhj0oF7gfOBE4BLjDEnOFtVyusHrrfWngCcCXxfYzYu1wBvO13EJPIL4Glr7Vzg02jsRmSMqQGuBhqstfVAOvBNZ6tKSeuBhUc89yNgm7V2DrBt8LF8ZD1Hj1nSsoXjQcpa+4y1tn/w4Q6g1sl6UtQZwLvW2vestUFgI3CRwzWlNGtts7X2z4M/dxP+BVfjbFWpzRhTC3wJ+LXTtUwGxphC4O+A+wGstUFrrc/ZqlJeBpBtjMkAcoAmh+tJOdbaF4COI56+CPjN4M+/Ab6S1KJS3LHGLJnZwvEgdYQrgD84XUQKqgEaD3vsQaFg3IwxM4FTgFecrSTl3Q3cCAw4Xcgk8QmgDXhgcDn018aYXKeLSlXWWi9wJ7AXaAa6rLXPOFvVpFFhrW0e/LkFqHCymEkoodkiKUHKGLN1cE38yH8uOuyamwkvxzyYjJrk48EYkwdsBq611h5wup5UZYxZBLRaa193upZJJAM4Ffh3a+0pQA9achnR4L6eiwgH0Gog1xjzbWermnxs+FZ73W4/TsnIFhmJ+uDDWWvPHe11Y8zlwCLgHKt+DMfiBaYf9rh28DkZhTEmk3CIetBa+4jT9aS4s4ELjTEXAFlAgTFmg7VWv+hG5gE81tqhmc5NKEiN5lzgfWttG4Ax5hHgLGCDo1VNDvuMMVXW2mZjTBXQ6nRBk0GysoXjS3vGmIWElxMutNb6na4nRf0JmGOM+YQxxkV4g+ZjDteU0owxhvDelbettXc5XU+qs9beZK2ttdbOJPzf13MKUaOz1rYAjcaY4wefOgfY5WBJqW4vcKYxJmfw7+c5aHP+eD0GXDb482XAFgdrmRSSmS0cb8hpjHkXcAPtg0/tsNZe6WBJKWlwpuBuwne6rLPW/tThklKaMeazwHbgr3y05+fH1tqnnKtqcjDGfB74gbV2kdO1pDpjzMmEN+e7gPeAJdbaTmerSl3GmFuBxYSXWt4AllprA85WlVqMMQ8BnwemAfuAW4BHgYeBGcCHwMXW2iM3pH9sjTBmN5GkbOF4kBIRERGZrBxf2hMRERGZrBSkRERERGKkICUiIiISIwUpERERkRgpSImIiIjESEFKREREJEYKUiIiIiIxUpASERERidH/A7ZiGge9/3CoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(seq[:, 0], seq[:, 1], c=np.argmax(posterior, axis=-1))\n",
    "plt.plot(seq[:, 0], seq[:, 1], \"k\", linewidth=0.1)\n",
    "for i, p in enumerate(seq):\n",
    "    plt.annotate(str(i), p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "categorical_hmm = CategoricalHMM(\n",
    "    initial_proba=np.ones(2) / 2,\n",
    "    transition_proba=np.array([[0.95, 0.05], [0.05, 0.95]]),\n",
    "    means=np.array([[0.8, 0.2], [0.2, 0.8]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq = categorical_hmm.draw(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "posterior = categorical_hmm.forward_backward(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "hidden = categorical_hmm.viterbi(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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N/xHzL73VxMgEQYh77imBY78Cy+4FPNskHveL1/nZ5+dw7SlTYxzc0FBKrdNaL472/Li1d1KSkwGxdwRBCEA/e6dJZuP2Er+inyTLMAiCEIR+yzA0d8hiaz7iV/RTUgBwu2TBNUEQ/NB6QPZOc6cntVtEP45FP9nb0zdckqcvCIIfhtvzv9/krN6evuTpx6/oW6xW3FphuMXeEQTBD98Wqpaja+z4VthM9GWVIY5FH8ClbBhi7wiC4I9vjw0/e6ep00FSv8XWEpX4Fn2saOnpC4Lgj28LVT97Z2dtO0XZKX0WW0tU4lr0DawYbunpC4LgR29P35O9U9/WzfufNXLhvKIYBjV6iGvRdysbWkRfEAR/+on+C58exG1oLl9UHMOgRg9xL/q9gzaCIAjQx97RWvPsumoWTR5HWX5GbOMaJcS16GtlPfoBC4IgQJ+e/qbqVj6rPyK9fD/iWvQ9PX2xdwRB8MNP9J9dV02yzcKF88XP9xHXoq8tYu8IgtAP769/B1ZWbDzE+cdMICtFJmX5iEj0lVLnK6V2KqV2K6VuD1Lmy0qpbUqprUqpf5obZmAMZcMiPX1BEPzxdgQ3Huyktcsp1k4/bOEKKKWswAPAuXjWcF6rlFqhtd7mV2Y6cAdwita6WSlVMFwB98FiOzrlWhAEAXo14d+VTRRlT+DkaXkxDmh0EUlP/wRgt9a6UmvtAJ4ELulX5gbgAa11M4DWut7cMAOjLTYsWnr6giD44bV3ttd1c/bsAqwWmZDlTySiPwmo8nte7T3mzwxghlLqA6XUR0qp8wNVpJS6USlVoZSqaGhoiC5ifyx2lHYSq41gBEEYhXjtnTYnFGamxDiY0YdZA7k2YDqwFLgS+LNSKqd/Ia31w1rrxVrrxfn5+UO/qsWGDQOH2xh6XYIgjA2843wubZFNUwIQiegfBEr8nhd7j/lTDazQWju11nuBXXi+BIYXqw0bbrodIvqCIHjxztJ3YZNVNQMQieivBaYrpaYqpZKA5cCKfmX+haeXj1IqD4/dU2linAFRVjs2XHQ5ZTBXEAQvXnvHiVU2TQlAWNHXWruAm4FXge3A01rrrUqpu5RSF3uLvQocVkptA94Gfqi1PjxcQftQVht23HSL6AuC4MM7kOvGKj39AIRN2QTQWq8CVvU7dqffYw3c4v03YiirHSuG9PQFQTiK19N3YpWdsgIQ1zNylTUJu9g7giD44xvIFXsnIHEt+hbfQK6IviAIPrz2TkpyEnZrXEvcsBDXLWK1JWFVhoi+IAhH8fb0M1JTYxzI6CSuRd9is3vsHUnZFATBh0/000T0AxHXom+12cXeEQShL157JytNZuMGYkyIvgzkCoLQi7enn5mWFuNARicRpWyOVqz2JLT09AVB8Mc7OSsrQ3r6gYjrnr5N7B1BEPrhdDgAyE4XTz8QcS36VluS2DuCIPSh29EDwDgR/YDEtehjsWNVmq4eWVNfEAQP3d09OLSVcRnJsQ5lVBLnom8FwOnsiXEggiCMFrp7emTdnRDEt+hbPetq+Dw8QRAEh8MhK2yGIL5F3+IRfYeIviAIXhyOHlzS0w9KfIu+t6fvEntHEAQvTqcDFzayU2WFzUDEt+h7PX2HU3r6giB4cDodGMoqG6IHIc5F3+vpO50xDkQQhNGC2+nEUHE973RYiW/R99o7hvT0BUHw4nI60BYR/WDEt+h7P1iXS0R/OFi7r4mn1h6IdRiCMCgMtwMloh+U+G4Z7wcr9o75NB7p4RuPraO1y8m5cyZIJoQQN7hdLkiWQdxgxHdP32fvSE/fVLTW/PiFLbR2OXEbmtVbamMdkiBEhNYa7XairCL6wYhv0ff29A2X9PTNZMXGQ6zeWssPPjeTsrx0Vm46FOuQBCEijvS4sGoXFmt8mxjDydgQfbcLt6FjHMzYoK6tmztf3MpxpTnceHoZF80v4qPKwzS0y1wIYfTT3OHEhoHFJnZkMOJb9L0/4eyyvLJp3PniFrqdbn7zpQVYLYqLFkzE0LB6S02fclsOttLaKb+whNFFU6cDm3JhtYm9E4z4Fn1vT9+mXLK8sglorXl7ZwNXnlDKtPwMAGYUZjKjMIOXNh0V/U/2NnHxH//Nfa/uiFWoghCQ5g4HdtzY7CL6wYhz0fd8sDYMuhwi+kOludOJw2VQmtt3m7kL501k7b4m6tq6ae5w8N0nP8XQ8OrWWrHVhFFFU4cDK25sNllWORjxLfrewRobLnpcIvpDpaa1C4Ci7L7bzF20oAitYeWmGn747CYaj/TwzTOm0XjEQcW+pliEKggBae50YMONPUk8/WDEt+j77B3cdDmMGAcT/9S1dQMwoZ/oT8vPYHZRFr99fRdvbK/j9mWz+c5Z5STZLLwi6ZzCKKKpw4Fdib0TiohEXyl1vlJqp1Jqt1Lq9hDlLlNKaaXUYvNCDIGfvdMtPf0hU9MaWPQBLppfxJEeF2fPKuBrp0whPdnG6dPzeXVrLYZYPMIoobnTQZIyUBYR/WCEFX2llBV4AFgGzAGuVErNCVAuE/gu8LHZQQbF6hN9l3j6JlDb2o1FQX6AbeaWH1/CNSdN5tdfWoBSntULlx0zgZrWbjZWt4x0qIIQkKYOj+gjk7OCEklP/wRgt9a6UmvtAJ4ELglQ7hfAr4BuE+MLjXdpZbuSzdHNoLa1m4LMFGzWgbfF+Ixk7rrkmD7LMZwzuxCbRcmM3QBorfnt67vYUdsW61ASiuYOJ0nK3asNwkAiEf1JQJXf82rvsV6UUguBEq31y6EqUkrdqJSqUEpVNDQ0DDrYAXh/wlkxJE/fBGrbuikMYO0EIzvNzsnlebyypRatxeLx59OqFn7/5md86x/r6XS4Yh1OwuDJ0zd6tUEYyJAHcpVSFuD/At8PV1Zr/bDWerHWenF+fv5QL+03Ocslom8CNa3dFGVFLvrgsXgONHWyvaZ9mKKKT17eVIPNoth3uIO7X94e63AShuYOBzZcYu+EIBLRPwiU+D0v9h7zkQkcA7yjlNoHLAFWjMhgbp/sHRH9oVLX2h1wEDcU584pxKIGzthNZAxDs2pzDUtn5nPjaWX88+MDvLm9LtZhjXkMQ3tSNrW7VxuEgUQi+muB6UqpqUqpJGA5sML3ota6VWudp7WeorWeAnwEXKy1rhiWiP3xfrBW3HS7JGVzKLR3O2nvcQ1a9PMyklk8JZe3dtYPU2Txx6dVzdS0dnPR/Inc8rkZzC7K4rbnPPMbhOGjrduJocGCiH4owoq+1toF3Ay8CmwHntZab1VK3aWUuni4AwyJ39o70tMfGr4c/f4TsyJhWn46dW0iaD5e2lhDks3C2bMLSLZZ+d0Vx9LW7eKXYvMMK00dniXWLVrsnVBE9HWotV4FrOp37M4gZZcOPawI8Q7WpFgMyd4ZIrWtHtGeMEhPHyAr1U5rpxOtdW86Z6LSa+3MyCczxXN/zpyQyTmzC9ggqa3DSlVzF6CxaLcM5IYgzmfketKyUqxaBnKHiG8JhsHaOwA5qUk43PLFC1Cxv5n69h4unF/U53hRdio1Ld2S5TSMrNhwiJxkb6dD7J2gxLfoKwUWGylWEZyhUuudjVsYRU8/O9XTq2rtkqWWX950iGSbhbNnF/Y5XpSdQpfTTVuXpG8OBx09Ll7ZUsNFc71ZgbKJSlDiW/QBLHavvSMDuUOhtq2b3PQkUuyDn9SSk+YR/ZYEX1/fbWhWbanlrFkFZCT3FZ2i7FQAatq6YhHamGf1llo6HW6+uKDAc0DsnaCMAdG3kWyRyVlDpba1O6pePkCO9PQBqNjXREMAaweO2ma+9Y0Ec3l2XTWluWksLPbsAyH2TnDiX/StNtJsmnrZzm9I1LZ1R5W5A56BXJCe/p6GDgAWT84d8JqvbWtaRPTNprq5kzWVh7lsYTHK8Hb+xN4JSvyLvsXOuBRFZcMRGSQbArVRTMzy4bN32hK8p9/S5UkZ9LWHPwWZyVgU1LaKvWM2L6z3zBW9dOEkMLz3oNg7QRkDom8jJ1nR3u2i8Ygj1tHEJT0uN4c7HFGla8LRgVyf6CUqLZ1OUuyWgOMiNquFgswUsXdMRmvNc+urOXFqLiW5aeD2ib709IMR/6JvtZHtTdPa03AkxsHEJ/XeiVXR9vQzkm1YLSrh7Z2WTgc5qcF3bJqQnUJtm4i+mazb38y+w51cvqjYc6DX3pGefjDiX/QtdjK9f2ci+tHh631G6+krpchOtSf8QG5LpzOgteOjKDuFQy1i75jJG9vrsVsVy+Z5B88N6emHYwyIvo1Ui0FakpU99R2xjiYu6Z2YFaW9A54MnpZEF/0uZ6/VFYgJ2R57R8aezKOhvYf8jOSjKbJi74Ql/kXfakdpN1Pz0qWnHyXB9sYdDNlp9oQfyG2NoKff6XDT3iMTtMyipdPBOL+NfTC8bSv2TlDiX/QtNnA7mZafIaIfJTWt3WQk23rXiomG7FS7ePpdDsalBff0fRO0amUw1zSaOvu1uU/0JXsnKGND9A2P6B9s6ZLVNqPAMzFr4L64g8Fj70j2TnaYnj7IBC0zael09u3p99o7sl1iMOJf9K12MFxMK0hHa9jbKL7+YPFMzEodUh3Z3pU2E5Uuh5selxE2ewegRgZzTaOpw8E4/y9asXfCEv+ib7GB28W0fM/0a7F4Bs9QJmb5yE5Loq3bhdtIzEHKUBOzfBRmpaCU9PTNwuU2aOt29rN3ZHJWOMaG6BtOpualo5SI/mBxG54lLIaSuQNH199p707M3r5vPCMnRPaO3WohPyNZPH2TaO1yojV9e/pun6cv2TvBiH/R99o7KXYrxeNSe9c/ESKj8UgPbkMPvaef4Ovv+N53KE8fPL5+jUzQMoXmTs+vq8DZOyL6wYh/0bfYe7/dp+VnsKdeevqDYVddOxD9xCwfPlsjUSdotfrsnRCePnhz9cXTN4Vm7xdtbrrYO4NhDIi+tfeDnpafwd7GDowE9ZUHi2Fo7n9tFwWZySwpGz+kuo6uv5OYou/r6Y9LD9fTTxV7xyR8e+L28fTF3glL/Iu+194Bj+h3Od3y8zlCVmw8xIaqFm49fxbpyUP7Izm6kUpipm36vuwi6em397gSduzDTFrE3omK+Bd9i703N7csPx1ALJ4I6HS4uPeVHcyblM2lx00acn2+NfUTdVZuS6eTJJuFFHvoPymfjVYnHZMh09Th/XXVJ2VT7J1wxL/oW219evogGTyR8PB7ldS2dXPn5+dgsagh1ycDuQ5yUu0oFbotffMhDslmKkOmpdNBss1Cqv9S1r7JWZKnH5T4F33LUdHPy0giK8Umoh+GmtYu/vTuHi6cX8TxUwbu8hQNyTYraUnWhB3IDbfCpg9fT198/aHjmZiV1PeL1re0snj6QRkDon/U3lFKkdGwhT988yLKy8u57rrrmDlzJuXl5dx77719Tlu9enXva8HK+Ze59957g57T//z+5wUjWDkzrhuq3E/++A8q/+cGXv7xl0Jed7BxZ/dbaTNUG0fz3ofaRmbEEKy+NS88Qnfl+rDtV+Bd7sI3QSuS+zDcZxNpHZGcE20bRRqPmW3+ztN/xnXg0771ee2d1W+8E1VbRtJe0fxtmFWHKWitY/Jv0aJF2hReuV3rXxZrrbV2uVw6u7BYz7vlUd3Z2amTkpL06tWrdU9Pj54/f77eunVrb7mysjK9Z8+eoOX8y/T09Oh58+bpkpKSAef0P9+/XP/r+tO/fjOvG65cRm6hXnzrP0Jed7Bxa631eb99V1//97Vh2zhYG4V670NtIzNiCFVfelGZTs8tDNt+Wmu96Bev6duf2xjRfRiuzSOtI9hnaEYbRRqP2W2eNXGaThtX0Le+R2/Trp9k6rKpU8PGF+5ziuSej7ScGXX4ACr0ELR3DPT0rb09/U8++YSSyVNps+fygz/9i9LSUtavX09SUhLLly/nxRdf7C1XXl5OWVkZGzZsYPLkyQPK+ZdJSkrilFNOISUlZcA5/c/3L9f/uv70r9/M64Yrh83O1KmhrzvYuMHT0/cN5IZq42BtFOq9D7WNzIghVH3pJXOwJyWHbT/w+PqHWrojug/DtXmkdQT7DM1oo0jjMbvNM0oDtPn7G/nkoJvy8mlh4wv3OUVyz0dazow6zGIMiP7RlM2DBw9y/DHTuY0k6FoAAB09SURBVPKEEp5+dxNd9myqqqsBKC4u5uDBg73lSkpKeh9PnDix9zVfOf8yADabDZvNNuCc/uf7l+t/XX/612/mdcOVM7D02gzBrjvYuMGTtulbgyZUGwdro1DvfahtZEYMoepzGAq73T6gvkBMyE6htrU7ovswXJtHWoc/wc6Jto0ijcf0NtcB2ryhhYPtmpKS0rDxhWqjYO0VabtGe91o4hssEYm+Uup8pdROpdRupdTtAV6/RSm1TSm1SSn1plJqsqlRhsJq9/h43t2ILErxyy/O4/MLJtJ4pIc3t9fLcsv9cBlD2yUrGDmpSQk5kNvtdOMyNNYIk6CKslN6dysTosNtaHqcxsDMM20ACsJkUSUyYUVfKWUFHgCWAXOAK5VSc/oV+xRYrLWeDzwL3Gd2oEHxjdIbbiZNmkRVVRVKKW44fzE5HKHencYrW2qorq5m0iRPPrqvnO/xoUOHel/zlfMvA+ByuXC5XAPO6X++fzn/+vrTv34zrxuqXEd3D4bbSaFX9INdd7Bxg2fdGV/KZqg2DtZGod77UNvIjBiC1dfa5QTDjdbuAfUFYkJ2Cm3dLrLGF4S9D8O1eST3cn+CnRNtG0Uaj5lt3tblRBvuo9k6vvpy05mUbY8ovlBtFKy9Im3XaK8bTXyDJpzpD5wEvOr3/A7gjhDljwM+CFevaQO5792v9U+ztHZ0aafTqadOnaorKyt1R0eHticl6QlX3KXveWmTnj9/vt6yZYvWWg8o13/wa8uWLX3K+AaXiouLB5zT/3z/cv719ad//WZeN1S5GbPnamvGeP3Qyg9DXnewcWut9R/f+kxPvm2l7nK4QrZxsDYK9d6H2kZmxBCsvk37G7Utb7IeX1AUtv201npzdYuefNtK/atVWwK2UXd3d9D7tX/dkdzLoT5DM9oo0njMbPNt1YcDt/mfbtDOn0+IKL5wn1Mk93yk5cyowwdDHMiNRPQvBx7xe3418McQ5f8I/DjIazcCFUBFaWlpyIaOmA/+4BH97jattdYvv/yynj59ui4rK9NXX321Ts0r1lkFk/Tdd9/d57T+5XyP/cv5l7n77ruDntP//P7nBSNYOTOuG6zcDd+7Qxdc/lNdMqUs7HUHG/dja/bpybet1LWtXWHbOJr3PtQ2MiOGQPVNKp2ic067Wv/6z/+MqP201vrmf67XM3+8Sv/jmRd6z/mPr1ylMwtKdE5hccj7NZp7OdRnaEYbRRqP2W1+78P92vzlH2p9T0nE8YX7nAZ7jhnXDVduVIk+cBXwEZAcrl7Tevpr/scj+h2HA758zV8+1hf8/j1zrjUGeLaiSk++baXe23DE9Lpf2nhQT75tpd5R02Z63aOZ1Vtq9OTbVurN1S0Rn7O/sUOX/9fL+rZnN/Yeu/25TXrybSv11NtX6oPNncMR6pjhta21evJtK/Wmqn5t/tL/0fpXU2MT1AgxVNGPZCD3IFDi97zYe6wPSqlzgB8BF2uteyKo1xz8PP1ATM1LZ19jh+9LKeGp9a75UjhMA7mQeMsrt/ausBl6sTV/SsencfWSKTxdUcWuunaerqjiiU8OcNnCYjTwxCcHhinasUFzR5CdygyXrLsThkhEfy0wXSk1VSmVBCwHVvgXUEodBzyER/DrzQ8zBL41NozAQjNlfBodDjcNR0bue2g0U9/WTVaKjdQk8zeOPrr+TmKttNm7VWKIXbMC8Z2zyklPtvGDZzbyk39t4ZTy8fzqsnmcNbOAJz6pwuEyhiPcMYFvA5Xc/l+0bpesuxOGsKKvtXYBNwOvAtuBp7XWW5VSdymlLvYW+zWQATyjlNqglFoRpDrz8fX03UFEP8+z8ub+w50jFdGopq6tZ1h6+ZC4G6m0dDqxWxVpg/wiHZeexE1Ly9lU3UpuehJ/WH4cNquFq06aTOORHl7dWjtMEcc/TZ0OkqyWgW1uOD0TNoWgRLQqkdZ6FbCq37E7/R6fY3JckeP7KWe4Ar481Sv6exs7TFtcLJ6pbeseNtH3La+caKLf3OkkOzUp7AqbgbjulCnUtXVz+aJixmd4JsydMT2fktxUHvtoP59fMLG37MGWLiZmp0R1nbFGS4eTcekBVjUVeycs8T8j17dZQhDRn5STis2i2Ncoe+eCx94ZLtHPTLZhUYkn+q1djohW2AxEit3Kzy6eyzGTsnuPWSyKr5w4mU/2NrGrrp3mDgf/+cSnnHLvW6zYeChkfTWtXXzhgQ948pMDY3ocq6nT0XfHLB9up9g7YYh/0Q9j79isFkpy09h3WETfMDT17T0UepdgMBuLRZGVak+4NfVbOp2D9vPD8eXFJSTZLPz0xa2c+9v3WLW5hsxkGy9uCC36z68/yIaqFm5/fjPfeGxd75aCY43mjiCib7jE3gnDGBD90PYOeAZz9zbGxtM3DM3bO+p7MzxiyeEOBy5DD1tPHzyDmYm2T26ka+kPhtz0JC6aV8SaysMUZCaz4uZTueL4Ev79WSNtIbZaXLW5hgUlOfzogtm8s7OB8373HhurWkyNbTTQ3OkYOIgLYu9EQPyLvjUC0c9LZ//hkU/b3HKwlUsf/JDr/r6W37y2c0SvHYi6YUzX9JGdlnjr77R2OckJ1OscIndcMJv7v7SAF28+hTkTs1g2rwiH2+Ct7YET5PY2drD1UBufn1/EDaeX8a9vn4Lb0Dz8XqXpscWa5mBftGLvhCX+RT+MvQOewdxOh5v69pFJ23S6DX62YisX//HfVDd3MmtCJq9sqcVtxNZjrW/3if7w2DvgSdtsTbSUTe9WiWaTn5nMZYuKsVs9f6bHleRQmJXMK1tqApZftdlz/IJ5RQDMmZjFwtJx7KprNz22WGIYmhbp6UfN2BH9kPaOJ4NnpAZzV22u4e8f7mP5CaW8+f2l3HxWOY1Heli7r2lErh+M2lbPl95w2zuJ1NN3uAw6HG7T7Z1AWCyKZccU8c7OBjp6Bt7vKzfVsLA0h4k5qb3HZhRmsLexA6d77OT8t3U7MTSBf12Jpx+W+Bf9MJOz4Gja5kgN5m491EaSzcJdF88lO9XOWbMKSLFbentisaKurRulPD3I4aL/loljHd8XXPYw2DuBOP+YCfS4DN7Z2dDneGXDEbbXtHHh/Il9js8ozMRl6DGVvdbsHR/LTRd7JxriX/R9P+XcwXv6Rdkp2K1qxAZzd9S2M70gA5v3Z3lako0zZxbwypZajBhaPPXt3YxPT+61C4aDnDRPTz+W73Mk8c0+Hg57JxDHT8klLyOJVf0snqPWzoQ+x8sLMgDYVXdkROIbCXwZSYGzd5xi74RhDIi+96dcCHunN21zhHo7O2ramDkhs8+xZfOKaGjvoWJ/84jEEIja1u5h9fPB09PXGtoD2A9jEd+vmpGwdwCsFsXn5k7g7R31dDuPrje1clMNiyaPoyg7tU/58oIMlILP6seOr+/7og0s+m6xd8IQ/6Ifgb0DMHV8+ojYO00dDurbe5g9IavP8bNmFZBsi63FU9fWMyw7ZvnjW3+neYzmh/fHNyfBt9jcSHDBMUV0Oty8vq2OLoebXXXt7Kht50LvAK4/KXYrpblpfDYGe/oBB3LF3glLRMswjGp67Z3Qoj8lL50P9jRiGHrgFmsmsqO2DWBATz8j2cYZM/J5ZUsNd140Z1hjCEZ9ezcLSnKG9RozCj3ve2N1S++6R2OZXntnhHr6ACeW5TIuzc53nvi0z/Fl/awdH9MLMsdUBk9zqDYXeycsY0D0w9s74BH9bqdBfXsPE7KHr7e7o8bzxzWrKHPAaxfOL+K1bXWsP9DM4hFeB8jhMmg84hh2e2fepGxy05N4d2cDlxxr8jZvo5DWEbZ3AOxWCw9fs5iNVS043RqX22ByXvoAa8fHjMIM3tlZj9NtDOt4zkjR7F3gLiM5gHy5XUcz+oSAxH/rRDA5Czz2DngmsAyn6O+sbSc3PYn8jIHietasApJsFv76wV5chmZCVgoTslNIsQ+/B+lbWnq47R2LRXFqeR7vfTb8v6pGAy2dTqyWIAI0jBw/JTfiBQSnF2b0ZvBMLxzYGYk3mjsc5KQFWeDOcB1dj0sISPx/7Uds76QBw5+2uaO2jVkTMgPekJkpdj43p5BVm2tZ/vBHLP3NOyy++w0aR2Ct/5GYjevjjBn5NB7pYVtN27BfK9a0dHkmZo3mlS+nF3iEfqxk8DR3OsgNliIr9k5YxoDoh5+cBVCUnUqS1TKsGTxuQ7Or7sgAP9+f311xLG/ccgaPf/1E/uuCWRzpcfHvzxqHLSYfda0jJ/qnzcgD4N1dDWFKxj+N7Q6yR9DaiYaxlsHT7F1WOSBi74Ql/kU/zNLKvcUsihkTMnh9W12fVDczOdDUSZfTPSBzxx+b1UJ5QQanlOdx/all5KTZ+WD3CIh+2/AvweCjIDOFuROzeG+Mi75haNbua2K+37LIo5GxlsHT2NETOF0TvPbO6P4SjjXxL/oR2jsAt543i8rGDh54e/ewhLIzSOZOMKwWxUll4/lgd+OwLwZX196D3aqC/7GYzOkz8lm3v5n2ECtCxjubD7ZyuMPB0pkFsQ4lLGMlg6e+rZvKhg7mTgzSsTKc0tMPwxgQfV9PP7y4nD4jn0sXTuLBd/b0plaayfaadpQ6mrYYCaeU53GotZu9wzxxrK61m4LMlBEbWD1jRj4uQ7Nmz+ERuV4seGdnA0p57qvRzlhZg+cN7wqj584JnJ6KW0Q/HPEv+r3ZO5FZNj+5cA7ZqXZue25z76qXhqGpae0acig7a9uZMj59UJuOn1Lu8b8/GGZxrGsf/tm4/iwsHUdGsm1M+/rv7KpnfnFO4ElCowz/DJ545vVttZTmpjGjMGPgi4YBaLF3whD/om+xAioiewc8m1Hf+fk5bKxq4ecvbeX25zZx4j1vctI9b/HGtrohheLL3BkMU8anMSknlQ+GcTBXa01VU9eIDOL6SLJZOGnaeN7d1TAmt+1r7nCwoaqFpXHQy4exkcHT0ePigz2HOXdOYZB0Ta8GSE8/JPEv+uD5kCOwd3xcvGAiZ80q4NE1+3l5Uw0nTM2lMCuZv36wN+oQOh0u9jd1Ruzn+1BKcfK08aypPDxs6+2vP9DMgaZOTps+sgJ1xox8qpu7ht26igXvfdaA1rB0ZnyI/rT8+M/gef+zBhwug3NmFwYu4BbRj4SxIfpWe9jsHX+UUvx++bE8962TWH/nuTzwHwu55qQpfLjnMLuj/KPYVXcErWFWiMydYJw6PY/WLidbD7VGde1wPLZmP5nJNi45dmL4wiZyhrcXfN/qnX3W2O92url75TbOuv8dDrYM3VaLBe/ubGBcmp35xcO7rIVZpCbFfwbPa9vqyEmzc/yUcYEL+DRA7J2QjA3Rt9hDLq0ciMwUO4sm5/ZOS19+fAlJVguPrdkfVQi+zJ3B2jsAJ00bD8AHu8339Q8f6WHV5louW1RM+gjPGi3JTeOH583k9e11nPfb93h3VwPr9jdzwe/f55F/76WqqZMfvbA57uwfw9C8u6uB02fkY42jGcfTCzLZXts2qPZu6nDwwNu7qfem/PqzvaaNbYdGZgKey23w1o56zppZ0Ltk+QB8oi+Ts0IyRkTfOih7JxDjM5K5cH4Rz60/yJEolgXeWN1KqjcferAUZKYwszBzWPL1n66oxuE2uGpJqel1R8K3zyznhZtOJiPFxlf/+gmX/+lDelwGj3/9RO5Y5tm8+8UNh2ISW7RsOeRL1YwPa8fHadPzqGzoYMXGyNpba80PntnIr1/dydn3v8tja/bhNjR1bd18/+mNLPv9+3z5oTUj8mtt3f5mWjqdnDMniLUDfvaOLK0cirEh+oO0d4Jx1ZLJHOlx8cKnBwd13qbqFp5eW8Xn5hZGnRJ5cvl41u5rMnXimNvQPP7xfpaU5VJeELs1V+YX57DyO6fy7TOncd3JU3n1e6dzSnkeXz15CseW5PDzl7ZyOMhSFD0uN1VNI7P5TaT0pmqO8BjJULlqyWQWlubwk39t6Z2sF4qn1lbx1o56vnnGNOaXZPOTF7dy4R/e58zfvMNLGw9x7clTMLTmjueH/9fa69vqSLJaQqfHir0TEWND9KOwdwKxsDSHuROz+Mea/RHfxB09Lv7ziU8pyEzmrouPifrap5bn0eMyqNhn3iYr7+6qp7q5i6uXTDGtzmhJsVv54XmzuPPzc3oXJ7NaFPddPp8jPS7uWrltwDkfVx5m2e/f54xfv81rW2tHOuSgvLOznnmTshkfYFG90YzVovjNlxbgcBvc9tymkPf4gcOd/GLlNk4pH8+t583kH9efyO+XH4vDZXDGjHzeuOUMfnbxXO5YNov3djXwdEVVRDG4DR3QKgqF1prXt9dxcvn40Avb9WbviOiHYmyIvnVw2TvBUEpxzUmT2VnXzid7I9vE/GcrtrK/qZPfXnHskNZgObFsvHf+wCbTcqkfW7Of/MxkPjc3xE/iGDOjMJNvn1nOixsOccOjFTz4zh4+2N3IHc9v4oqHP8LhMpg1IYvvPPEp6/abu7H82n1NXPu3T/gwQlvNMDT3vLKd9QdaOG9ukMlBo5yy/AxuP38W7+xs4Km1gYXabWi+/8wGLBbFry9fgMWiUEpxybGTeOsHS3nwqkWUjvfYmF85cTJLynK5e+V2DoWxeerburnyzx+x5J43eeT9yog6VlprHnx3D/sPd3JuKGsHjnb8pKcfkrEh+habKfYOwMULJjEuzc63Hl/P4x/vD5lG+dLGQzyzrpqbzyznxLLxQ7puRrKNx79+Il1ON196aA07a6NPrXO6DR55v5J3djVw5Qmlo34N9ZuWlnP1ksnsqmvnV6t38JVHPuaptVXceHoZr33vdB67/gSKslO4/n8r2F0/9OwTrTX/++E+rnz4I97b1cBX/vIx963eEXK2arfTzc1PrOehdyu5akkp3zi9bMhxxIprTprCSWXj+cXKbdy3egcfVx7G6TZo6nCwYuMhbnp8HWv3NfPzi+cyMSfwGv0+LBbFfZctwGVobn12E/XtgXvxH+5p5II//JvN1a2cOHU8d7+8ne8/szGkndnpcHHzE59y3+qdXDi/iMsWFod+Y70DueLph0JF8m2rlDof+D1gBR7RWt/b7/Vk4FFgEXAYuEJrvS9UnYsXL9YVFRVRht2PB5ZA3nS44jFTqttR28ZPX9zKx3ubmDUhk28tnUZhVgpZKXYM7cnceG1bHRurWlhYmsPT3zgpeEbBINld385XHvmYHpfB/V9awMnT8gY1w/ejysPc+eIWdtUd4cyZ+fzuiuNG/SqQ/jR3ONhY3cKknNQ+a78fONzJpQ9+QLLNyp2fn8PJ08aTmTL499Xa5eTnL23l+fUHOXtWAf/9xXn89vVdPFVRxXGlOXzrjGmUjk+jZFwaFqXYXX+EnXXt/OOj/WysbuFHF8zm+lOnjuqllCPhYEsXP3h6I5/sa8JtaNKSrHQ53Wjt2fJy+Qkl3H7+rIjf5z8+2s+P/7UFpTxr/Z83dwJJVkVdWw9VzZ28tPEQU/PSefCqRZTnZ/D/3trNb9/YxYKSHK49eTLT8jMoy8/AbWj2NnZQ2XCEh9+rZFddO7edP4sbTy8LH0vNRnjodLjicZh9kQmtNDpRSq3TWi+O+vxwoq+UsgK7gHOBamAtcKXWeptfmZuA+VrrbyqllgNf1FpfEapeU0X/T6dCRiFc+mdz6gM08Mb2Ou5/bRc1rQN7L8dMzOLMWQVctrCYcSaL6sGWLm58bB3VzV3YLIpZRVnMLcoiK8VGarKVVLsVQ4PbMHp3xNp/uIP9TZ0caummKDuF286fxdKZ+cS3NPVl26F2vvV4BS1dLmwWxfySHGYWZJCVYiMz1U56kg2LUvjedLfTTZfTTWePi31NneyoaeNAk8eC+OYZZXzj9Gn4xt1Xb63lFyu398ncUgp8fx4ZyTbuumQOZ88avVZZNLT1uFi7t4lP9jaRm57EyeV5zCnKwhrFjbO74Qivb6vjjW117G7wWJRWi2J8up2Tp+Vx6/mzSPfrwLy5o547X9waNFtuXJqdey6dx0mR/oqu2QiPfQH+42mYcd7g30CcMBKifxLwM631ed7ndwBore/xK/Oqt8wapZQNqAXydYjKTRX9R86F6k/MqUsQhPjmmhVQdkasoxg2hir6kczWmQT4j/hUAycGK6O1dimlWoHxQJ8RMqXUjcCNAKWlJuaNX/BrOPCRefWNUjQal6FxuAyUAqtSWC2ef2pM9ekHh6E1PS7Prx4NvQOEdpuFJKvCZrF4fgEIY5+kdCg9KdZRjGpGdIqm1vph4GHw9PRNq3jisZ5/YxwF2L3/hKNYgFTvP0EQQhPJ6ONBoMTvebH3WMAyXnsnG8+AriAIgjCKiET01wLTlVJTlVJJwHJgRb8yK4Cveh9fDrwVys8XBEEQYkNYe8fr0d8MvIonZfOvWuutSqm7gAqt9QrgL8BjSqndQBOeLwZBEARhlBGRp6+1XgWs6nfsTr/H3cCXzA1NEARBMJvRPVVTEARBMBURfUEQhARCRF8QBCGBENEXBEFIIET0BUEQEggRfUEQhARCRF8QBCGBENEXBEFIIET0BUEQEggRfUEQhARCRF8QBCGBENEXBEFIICLaGH1YLqxUA7Df+zSPfrtsJTDSFh6kHTxIOxxF2sLDTK11ZrQnj+jOWf5orfN9j5VSFUPZ83EsIW3hQdrBg7TDUaQtPCilhrS5uNg7giAICYSIviAIQgIxWkT/4VgHMIqQtvAg7eBB2uEo0hYehtQOMRvIFQRBEEae0dLTFwRBEEYAEX1BEIQEIuair5Q6Xym1Uym1Wyl1e6zjGSmUUiVKqbeVUtuUUluVUt/1Hs9VSr2ulPrM+/+4WMc6EiilrEqpT5VSK73PpyqlPvbeF08ppZJiHeNIoJTKUUo9q5TaoZTarpQ6KRHvCaXU97x/F1uUUk8opVIS5Z5QSv1VKVWvlNridyzgPaA8/MHbJpuUUgvD1R9T0VdKWYEHgGXAHOBKpdScWMY0griA72ut5wBLgG973/vtwJta6+nAm97nicB3ge1+z38F/FZrXQ40A9fHJKqR5/fAaq31LGABnjZJqHtCKTUJ+E9gsdb6GMAKLCdx7om/A+f3OxbsHlgGTPf+uxF4MFzlse7pnwDs1lpXaq0dwJPAJTGOaUTQWtdordd7H7fj+eOehOf9/6+32P8CX4hNhCOHUqoYuBB4xPtcAWcBz3qLJEo7ZAOnA38B0Fo7tNYtJOA9gWfiaKpSygakATUkyD2htX4PaOp3ONg9cAnwqPbwEZCjlCoKVX+sRX8SUOX3vNp7LKFQSk0BjgM+Bgq11jXel2qBwhiFNZL8DrgVMLzPxwMtWmuX93mi3BdTgQbgb16r6xGlVDoJdk9orQ8CvwEO4BH7VmAdiXlP+Ah2DwxaQ2Mt+gmPUioDeA74P1rrNv/XtCefdkzn1CqlLgLqtdbrYh3LKMAGLAQe1FofB3TQz8pJkHtiHJ4e7FRgIpDOQLsjYRnqPRBr0T8IlPg9L/YeSwiUUnY8gv+41vp57+E6388z7//1sYpvhDgFuFgptQ+PvXcWHl87x/vTHhLnvqgGqrXWH3ufP4vnSyDR7olzgL1a6wattRN4Hs99koj3hI9g98CgNTTWor8WmO4dlU/CM1izIsYxjQhe3/ovwHat9f/1e2kF8FXv468CL450bCOJ1voOrXWx1noKns//La31V4C3gcu9xcZ8OwBorWuBKqXUTO+hs4FtJNg9gcfWWaKUSvP+nfjaIeHuCT+C3QMrgGu8WTxLgFY/GygwWuuY/gMuAHYBe4AfxTqeEXzfp+L5ibYJ2OD9dwEeP/tN4DPgDSA31rGOYJssBVZ6H5cBnwC7gWeA5FjHN0JtcCxQ4b0v/gWMS8R7Avg5sAPYAjwGJCfKPQE8gWcsw4nn19/1we4BQOHJgNwDbMaT8RSyflmGQRAEIYGItb0jCIIgjCAi+oIgCAmEiL4gCEICIaIvCIKQQIjoC4IgJBAi+oIgCAmEiL4gCEIC8f8BMeNo79mDywoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(posterior[:, 1])\n",
    "plt.plot(hidden)\n",
    "for i in range(0, len(seq)):\n",
    "    plt.annotate(str(seq[i]), (i, seq[i] / 2. + 0.2))\n",
    "plt.xlim(-1, len(seq))\n",
    "plt.ylim(-0.1, np.max(seq) + 0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.3 Linear Dynamical Systems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "observed_sequence = np.concatenate(\n",
    "    (np.arange(50)[:, None] * 0.1 + np.random.normal(size=(50, 1)),\n",
    "     np.random.normal(loc=5., size=(50, 1)),\n",
    "     5 - 0.1 * np.arange(50)[:, None] + np.random.normal(size=(50, 1))), axis=0)\n",
    "plt.plot(observed_sequence)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "kalman = Kalman(\n",
    "    system=np.array([[1., 1.], [0., 1.]]),\n",
    "    cov_system=np.eye(2) * 0.001,\n",
    "    measure=np.array([[1., 0.]]),\n",
    "    cov_measure=np.eye(1) * 10,\n",
    "    mu0=np.zeros(2), P0=np.eye(2) * 100\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean, cov = kalman.filtering(observed_sequence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = kalman.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "observed_sequence = [None if 50 < i < 90 else obs for i, obs in enumerate(observed_sequence)]\n",
    "plt.plot(observed_sequence)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "kalman = Kalman(\n",
    "    system=np.array([[1., 1.], [0., 1.]]),\n",
    "    cov_system=np.eye(2) * 0.001,\n",
    "    measure=np.array([[1., 0.]]),\n",
    "    cov_measure=np.eye(1) * 10,\n",
    "    mu0=np.zeros(2), P0=np.eye(2) * 100\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean = []\n",
    "std = []\n",
    "for obs in observed_sequence:\n",
    "    m, s = kalman.predict()\n",
    "    if obs is not None:\n",
    "        m, s = kalman.filter(obs)\n",
    "    mean.append(m[0])\n",
    "    std.append(np.sqrt(s[0, 0]))\n",
    "mean = np.asarray(mean)\n",
    "std = np.asarray(std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = kalman.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 13.3.4 Particle Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "observed_sequence = np.concatenate(\n",
    "    (np.arange(50)[:, None] * 0.1 + np.random.normal(size=(50, 1)),\n",
    "     np.random.normal(loc=5., size=(50, 1)),\n",
    "     5 - 0.1 * np.arange(50)[:, None] + np.random.normal(size=(50, 1))), axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def nll(observed, particle):\n",
    "    diff = observed - particle @ np.array([1., 0.])\n",
    "    return 0.1 * (diff ** 2)\n",
    "\n",
    "particle = Particle(np.random.normal(0, 1, (1000, 2)), system=np.array([[1, 1], [0, 1]]), cov_system=np.eye(2) * 0.001, nll=nll)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean, cov = particle.filtering(observed_sequence)\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = particle.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "observed_sequence = [None if 50 < i < 90 else obs for i, obs in enumerate(observed_sequence)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "particle = Particle(np.random.normal(0, 1, (1000, 2)), system=np.array([[1, 1], [0, 1]]), cov_system=np.eye(2) * 0.001, nll=nll)\n",
    "mean = []\n",
    "std = []\n",
    "for obs in observed_sequence:\n",
    "    p, w = particle.predict()\n",
    "    if obs is not None:\n",
    "        p, w = particle.filter(obs)\n",
    "    mean.append(np.average(p, axis=0, weights=w)[0])\n",
    "    std.append(np.cov(p, rowvar=False, aweights=w)[0, 0])\n",
    "mean = np.asarray(mean)\n",
    "std = np.asarray(std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.ylim(-2, 8)\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = particle.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
